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This section includes 657 Mcqs, each offering curated multiple-choice questions to sharpen your Testing Subject knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If tan2 . tan 4 = 1, then the value of tan 3 is |
| A. | |
| B. | <span style=" text-decoration: overline;">AAAA</span> |
| C. | 0 |
| D. | 1 |
| E. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">3</span></td></table> |
| Answer» D. 1 | |
| 2. |
If sin + cosec = 2, then the value of sin |
| A. | 0 |
| B. | 1 |
| C. | 10 |
| D. | 2 |
| Answer» E. | |
| 3. |
If sin + cosec = 2, then value of sin |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 100 |
| Answer» C. 3 | |
| 4. |
The simplified value of (see x sec y + tan x tan y) (sex x tan y + tan x sec y) is : |
| A. | - 1 |
| B. | 0 |
| C. | sec x |
| D. | 1 |
| Answer» E. | |
| 5. |
The minimum value of sin + cos + sec + cosec + tan + cot is |
| A. | 1 |
| B. | 3 |
| C. | 5 |
| D. | 7 |
| Answer» E. | |
| 6. |
If is a positive acute angle and tan 2 tan 3 = 1, then the value of [2 cos (5 / 2) 1[ is |
| A. | <table><tr><td rowspan="2">-</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table> |
| B. | |
| C. | 1 |
| D. | 0 |
| E. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table> |
| Answer» D. 0 | |
| 7. |
If tan x = sin 45 . cos 45 + sin 30 then the value of x is |
| A. | 30 |
| B. | 45 |
| C. | 60 |
| D. | 90 |
| Answer» C. 60 | |
| 8. |
A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45 to 60 . After this the time required by the vehicle to reach the bottom of the hill is |
| A. | 12 minutes 20 seconds |
| B. | 13 minutes |
| C. | 13 minutes 40 seconds |
| D. | 14 minutes 24 seconds |
| Answer» D. 14 minutes 24 seconds | |
| 9. |
If cos + cos = 2, then the value of tan& |
| A. | - 1 |
| B. | 0 |
| C. | 1 |
| D. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">3</span></td></table> |
| Answer» C. 1 | |
| 10. |
If tan =4, then the value of3sin + 2cos is33sin - 2cos |
| A. | 0.5 |
| B. | 0.5 |
| C. | 3.0 |
| D. | 3.0 |
| Answer» D. 3.0 | |
| 11. |
If be a positive acute angle satisfying cos + cos |
| A. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td><td rowspan="2"></td></tr><td align="center">2</td></table> |
| B. | |
| C. | 1 |
| D. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table> |
| E. | 0 |
| Answer» C. 1 | |
| 12. |
If tan = 1, then the value of8sin + 5cos issin3 - 2cos3 + 7cos |
| A. | 2 |
| B. | <table><tr><td rowspan="2">2</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table> |
| C. | |
| D. | 3 |
| E. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4</center></td><td rowspan="2"></td></tr><td align="center">5</td></table> |
| Answer» B. <table><tr><td rowspan="2">2</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table> | |
| 13. |
If A, B and C be the angles of a triangle, then put of the following, the incorrect relation is : |
| A. | <table><tr><td rowspan="2">sin</td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>A + B</center></td><td rowspan="2">= cos<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C</center></td><td rowspan="2"></td></tr><td align="center">2</td><td align="center">2</td></table> |
| B. | <table><tr><td rowspan="2">cos</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/aptitude/1-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">A + B</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"> </td><td rowspan="2">= sin</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">C</td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table> |
| C. | |
| D. | <table><tr><td rowspan="2">tan</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/aptitude/1-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">A + B</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"> </td><td rowspan="2">= sec</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">C</td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table> |
| E. | <table><tr><td rowspan="2">cot</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/aptitude/1-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">A + B</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"> </td><td rowspan="2">= tan</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">C</td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table> |
| Answer» D. <table><tr><td rowspan="2">tan</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/aptitude/1-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">A + B</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"> </td><td rowspan="2">= sec</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">C</td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table> | |
| 14. |
If 0 < x < ( / 2) and secx = cosecy, then the value of sin (x + y) is : |
| A. | 0 |
| B. | 1 |
| C. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table> |
| D. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">3</span></td></table> |
| E. | |
| Answer» C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table> | |
| 15. |
The simplified value of (sec A cos A) + (cosec A sin A) (cot A tan A) is |
| A. | 0 |
| B. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table> |
| C. | |
| D. | 1 |
| E. | 2 |
| Answer» D. 1 | |
| 16. |
The expressiontan 57 + cot 37 is equal totan 33 + cot 53 |
| A. | tan 33 cot 57 |
| B. | tan 57 cot 37 |
| C. | tan 33 cot 53 |
| D. | tan 53 cot 37 |
| Answer» C. tan 33 cot 53 | |
| 17. |
If sin 17 = (x / y) , then the value of (sec 17 sin 73 ) is |
| A. | |
| B. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>y </center></td></tr><td align="center">x <span style=" text-decoration: overline;">y - x </span></td></table> |
| C. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x </center></td></tr><td align="center">y <span style=" text-decoration: overline;">y - x </span></td></table> |
| D. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x </center></td></tr><td align="center">y <span style=" text-decoration: overline;">x - y </span></td></table> |
| E. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>y </center></td></tr><td align="center">x <span style=" text-decoration: overline;">x - y </span></td></table> |
| Answer» C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x </center></td></tr><td align="center">y <span style=" text-decoration: overline;">y - x </span></td></table> | |
| 18. |
If (cos / cot - cos ) = 3 and 0 < < 90 , then the value of is : |
| A. | 30 |
| B. | 45 |
| C. | 60 |
| D. | None of these |
| Answer» D. None of these | |
| 19. |
The value of cosec 18 1iscot 72 |
| A. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">3</span></td></table> |
| B. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">2</span></center></td><td rowspan="2"></td></tr><td align="center">3</td></table> |
| C. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table> |
| D. | |
| E. | 1 |
| Answer» E. 1 | |
| 20. |
The value of cos 1 cos 2 cos 3 ....... cos 177 cos 178 cos 179 is : |
| A. | 0 |
| B. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table> |
| C. | 1 |
| D. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">2</span></td></table> |
| Answer» B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table> | |
| 21. |
If sec = x +1(0 < < 90 ), then sec + tan is equal to 4x |
| A. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x</center></td><td rowspan="2"></td></tr><td align="center">2</td></table> |
| B. | |
| C. | 2x |
| D. | x |
| E. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2x</td></table> |
| Answer» C. 2x | |
| 22. |
If 7 sin + 3 cos = 4 (0 90 ), then value of is |
| A. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"></td></tr><td align="center">2</td></table> |
| B. | |
| C. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"></td></tr><td align="center">3</td></table> |
| D. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"></td></tr><td align="center">6</td></table> |
| E. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"></td></tr><td align="center">4</td></table> |
| Answer» D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"></td></tr><td align="center">6</td></table> | |
| 23. |
The value of (sin 25 + sin 65 ) is : |
| A. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">3</span></center></td><td rowspan="2"></td></tr><td align="center">2</td></table> |
| B. | |
| C. | 1 |
| D. | 0 |
| E. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">3</span></td></table> |
| Answer» C. 1 | |
| 24. |
If the sum and difference of two angles are (22 / 9) radian and 36 respectively, then the value of smaller angle in degree taking the value of as (22 / 7) is : |
| A. | 52 |
| B. | 60 |
| C. | 56 |
| D. | 48 |
| Answer» B. 60 | |
| 25. |
The minimum value of 2 sin + 3 cos is |
| A. | 0 |
| B. | 3 |
| C. | 2 |
| D. | 1 |
| Answer» D. 1 | |
| 26. |
Which of the following relations is correct for 0 < < 90 ? |
| A. | sin = sin |
| B. | sin < sin |
| C. | sin > sin |
| D. | sin = cosec |
| Answer» D. sin = cosec | |
| 27. |
The circular measure of the included angle formed by the hour hand and minute hand of a clock at 3 p.m. will be |
| A. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"></td></tr><td align="center">4</td></table> |
| B. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"></td></tr><td align="center">3</td></table> |
| C. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5 </center></td><td rowspan="2"></td></tr><td align="center">12</td></table> |
| D. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"></td></tr><td align="center">2</td></table> |
| Answer» E. | |
| 28. |
ABCD is a rectangle of which AC is a diagonal. The value of (tan CAD + 1) sin BAC is |
| A. | 2 |
| B. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">4</td></table> |
| C. | |
| D. | 1 |
| E. | 0 |
| Answer» D. 1 | |
| 29. |
If 2 sin ( x / 2) = x + (1 / x ) , then the value of [x - (1 / x)] is |
| A. | - 1 |
| B. | 2 |
| C. | 1 |
| D. | 0 |
| Answer» E. | |
| 30. |
If 0 ( / 2) and sec + tan =7, then is |
| A. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5 </center></td><td rowspan="2">radian</td></tr><td align="center">12</td></table> |
| B. | |
| C. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2">radian</td></tr><td align="center">3</td></table> |
| D. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2">radian</td></tr><td align="center">5</td></table> |
| E. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2">radian</td></tr><td align="center">6</td></table> |
| Answer» C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2">radian</td></tr><td align="center">3</td></table> | |
| 31. |
The angle of elevation of the top of a pillar from the foot and the top of a building 20 m high, are 60 and 30 respectively. The height of the pillar is |
| A. | 10 m |
| B. | 10 |
| C. | <span style=" text-decoration: overline;">3</span> |
| D. | 60 m |
| E. | 30 m |
| Answer» E. 30 m | |
| 32. |
The value of cos3 + sin3 -cos3 - sin3 is equal tocos + sin cos - sin |
| A. | - 1 |
| B. | 1 |
| C. | 2 |
| D. | 0 |
| Answer» D. 0 | |
| 33. |
If is a positive acute angle and 3 (sec + tan ) = 5, then the value of cos 2 is |
| A. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table> |
| B. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">2</span></td></table> |
| C. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">3</span></center></td><td rowspan="2"></td></tr><td align="center">2</td></table> |
| D. | |
| E. | 1 |
| Answer» B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">2</span></td></table> | |
| 34. |
If (1 + sin A) (1 + sin B) (1 + sin C) = (1 sin A) (1 sin B) (1 sin C), 0 < A, B, C < ( / 2) then each side is equal to |
| A. | sin A sin B sin C |
| B. | cos A cos B cos C |
| C. | tan A tan B tan C |
| D. | 1 |
| Answer» C. tan A tan B tan C | |
| 35. |
If cos + sec = 2, the value of cos |
| A. | 4 |
| B. | 8 |
| C. | 1 |
| D. | 2 |
| Answer» E. | |
| 36. |
If 29 tan = 31, then the value of |
| A. | 810 |
| B. | 900 |
| C. | 540 |
| D. | 490 |
| Answer» C. 540 | |
| 37. |
If sec 15 = cosec 15 (0 < < 10 ) then value of is |
| A. | 9 |
| B. | 5 |
| C. | 8 |
| D. | 3 |
| Answer» E. | |
| 38. |
If 5 sin2 + 4cos2 = 9 and 0 < < then tan is equal to22 |
| A. | 1 |
| B. | 0 |
| C. | 1 |
| D. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">4</td></tr></table> |
| Answer» B. 0 | |
| 39. |
If sec |
| A. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span></td></tr></table> |
| B. | 1 |
| C. | |
| D. | <span style=" text-decoration: overline;">3</span> |
| E. | 0 |
| Answer» D. <span style=" text-decoration: overline;">3</span> | |
| 40. |
If the sum of two angles is 135 and their difference is ( / 12) , then the circular measure of the greater angle is |
| A. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2 </center></td><td rowspan="2"></td></tr><td align="center">3</td></table> |
| B. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3 </center></td><td rowspan="2"></td></tr><td align="center">5</td></table> |
| C. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5 </center></td><td rowspan="2"></td></tr><td align="center">12</td></table> |
| D. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"></td></tr><td align="center">3</td></table> |
| Answer» D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"></td></tr><td align="center">3</td></table> | |
| 41. |
If in a triangle ABC, sin A = cos B, then the value of cos C is |
| A. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">3</span></center></td></tr><tr><td style="text-align: center;">2</td></tr></table> |
| B. | 0 |
| C. | 1 |
| D. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">2</span></td></tr></table> |
| Answer» C. 1 | |
| 42. |
If tan + 1 = 2 , then the value of tan2 + 1 is equal to :tan tan2 |
| A. | 6 |
| B. | 4 |
| C. | 2 |
| D. | 3 |
| Answer» D. 3 | |
| 43. |
Find the value of 1 + 1 .1 + tan2 1 + cot2 |
| A. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">4</td></tr></table> |
| B. | 1 |
| C. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table> |
| D. | 2 |
| Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table> | |
| 44. |
If be positive acute angle and 5 cos + 12 sin = 13, then the value of cos is |
| A. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>12</center></td></tr><tr><td style="text-align: center;">13 </td></tr></table> |
| B. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5</center></td></tr><tr><td style="text-align: center;">13 </td></tr></table> |
| C. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5</center></td></tr><tr><td style="text-align: center;">12 </td></tr></table> |
| D. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">5</td></tr></table> |
| Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5</center></td></tr><tr><td style="text-align: center;">12 </td></tr></table> | |
| 45. |
If tan + cot = 5, then the value of tan |
| A. | 22 |
| B. | 25 |
| C. | 23 |
| D. | 27 |
| Answer» D. 27 | |
| 46. |
If 7sin |
| A. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td><td rowspan="2"> 2</td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span> </td></tr></table> |
| B. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td><td rowspan="2"> + 2</td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span> </td></tr></table> |
| C. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span> </td></tr></table> |
| D. | None of these |
| Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span> </td></tr></table> | |
| 47. |
If cos + cos = 4 , then the value of (0 < < 90 ) is1 - sin 1 + sin |
| A. | 60 |
| B. | 45 |
| C. | 30 |
| D. | 35 |
| Answer» B. 45 | |
| 48. |
The value of tan80 tan10 + sin2 70 + sin |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">3</span></center></td></tr><tr><td style="text-align: center;">2</td></tr></table> |
| Answer» D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">3</span></center></td></tr><tr><td style="text-align: center;">2</td></tr></table> | |
| 49. |
The angles of elevation of the top of a temple, from the foot and the top of a building 30 m high, are 60 and 30 respectively. Then, the height of the temple is |
| A. | 50 metre |
| B. | 43 metre |
| C. | 40 metre |
| D. | 45 metre |
| Answer» E. | |
| 50. |
If sin 17 = (x / y) , then sec 17 sin 73 is equal to |
| A. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>y</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">y - x </span></td></table> |
| B. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>y </center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">x(y - x )</span></td></table> |
| C. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">(y - x )</span></td></table> |
| D. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x </center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">y(y - x )</span></td></table> |
| Answer» E. | |