MCQOPTIONS
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MCQOPTIONS
This section includes 109 Mcqs, each offering curated multiple-choice questions to sharpen your Maths knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If tan2 +cot2 = 2, then what is the value of 2sec cosec ? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 4 |
| Answer» E. | |
| 2. |
If sin3 =cos(20 - ) then find out the value of . |
| A. | 40 |
| B. | 35 |
| C. | 60 |
| D. | 30 |
| Answer» C. 60 | |
| 3. |
PQR is right angled at Q. If cos P = 3/5, then what is the value of cos R? |
| A. | $$ {3 over4}$$ |
| B. | $$ {5 over3}$$ |
| C. | $$ {4 over5}$$ |
| D. | $$ {4 over3}$$ |
| Answer» D. $$ {4 over3}$$ | |
| 4. |
If $$ {sin { }}={1 over { sqrt{2}}}$$ then (tan +cos )=? |
| A. | $${1 over{ sqrt{2}}}$$ |
| B. | $${2 over{ sqrt{2}}}$$ |
| C. | $${3 over{ sqrt{2}}}$$ |
| D. | $$ {(1+ sqrt{2}) over{ sqrt{2}}}$$ |
| Answer» E. | |
| 5. |
If cosec =1.25 then $$ {4 tan -5 cos + 1 over sec + 4cot -1}=?$$ |
| A. | $$ {9 over 10}$$ |
| B. | 2 |
| C. | $$ {10 over 11}$$ |
| D. | $$ {1 over 2}$$ |
| Answer» D. $$ {1 over 2}$$ | |
| 6. |
If A and B are acute angles and Sec A =3; Cot B=4, then the value of $$ {Cosec^{2}A}+Sin^{2}B over {Cot^{2}A+Sec^{2}B}$$ is: |
| A. | 2 |
| B. | $$ {25 over 261}$$ |
| C. | $$ {322 over 323}$$ |
| D. | $$ {1 over 261}$$ |
| Answer» D. $$ {1 over 261}$$ | |
| 7. |
$$ {Cos^4 +Sin^4 }={2 over3} $$ then the value of $$ {Cos^2 -Sin^2 +1}$$? |
| A. | $$ {13 over15} $$ |
| B. | $$ {14 over15} $$ |
| C. | $$ {15 over14} $$ |
| D. | $$ {15 over13} $$ |
| Answer» E. | |
| 8. |
The value of $$ {(cos { 9 }+sin{ 81 }})({sec { {9 }+cosec{ 81 }}}) over{sin{ 56 }sec{ 34 }}+ {cos{ 25 }cosec{ 65 }}$$ is: |
| A. | $$ {1 over 4}$$ |
| B. | 4 |
| C. | 2 |
| D. | $$ {1 over 2}$$ |
| Answer» D. $$ {1 over 2}$$ | |
| 9. |
If sec tan = 1/3 what is sec + tan ? |
| A. | 1 |
| B. | 9 |
| C. | 3 |
| D. | 1/9 |
| Answer» D. 1/9 | |
| 10. |
(sec A + tan A 1) (sec A tan A+1) =? |
| A. | cotA |
| B. | 2cotA |
| C. | tanA |
| D. | 2tanA |
| Answer» E. | |
| 11. |
$$ {3tan^{2}30 }-{4 over 3}{sin^{2}60 }- {1 over2}{cosec^{2}45 }+{4 over3}{sin^{2}90 =?}$$ |
| A. | $$ {2 over3}$$ |
| B. | $$ {1 over3}$$ |
| C. | $$ {4 over3}$$ |
| D. | $$ {5 over4}$$ |
| Answer» C. $$ {4 over3}$$ | |
| 12. |
$$ {3sin60 -4sin^{3}60 =?}$$ |
| A. | $$ {2 sqrt{3}}$$ |
| B. | $$ {4 sqrt{3}}$$ |
| C. | 0 |
| D. | 50 |
| Answer» D. 50 | |
| 13. |
The value of $$ {2(1-sin^{2} )}+{2(1-cos^{2} )}$$. |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |
| 14. |
The value of $$ {3sin30 -4sin^{3}30 }$$ |
| A. | Sin30 |
| B. | Cos60 |
| C. | sin90 |
| D. | Cos90 |
| Answer» D. Cos90 | |
| 15. |
The value of sin222 + Sin268 + Cot2 30 is: |
| A. | $$ {5 over 4}$$ |
| B. | $$ {3 over 4}$$ |
| C. | 4 |
| D. | 3 |
| Answer» D. 3 | |
| 16. |
If tan A=n tan B and Sin A= m Sin B, then the value of Cos2A is |
| A. | $$ {m^{2}+1 over {n^{2}+1}}$$ |
| B. | $$ {m^{2}+1 over {n^{2}-1}}$$ |
| C. | $$ {m^{2}-1 over {n^{2}-1}}$$ |
| D. | $$ {m^{2}-1 over {n^{2}+1}}$$ |
| Answer» D. $$ {m^{2}-1 over {n^{2}+1}}$$ | |
| 17. |
If x+ y=90 , then what is the value of $$ { sqrt{cosx.cosecy-cosx.siny}}$$? |
| A. | cosx |
| B. | sinx |
| C. | $$ { sqrt{sinx}}$$ |
| D. | $$ { sqrt{cosx}}$$ |
| Answer» C. $$ { sqrt{sinx}}$$ | |
| 18. |
If sin2a = cos3a then the value of cot6 a cot2a? |
| A. | 1 |
| B. | 2 |
| C. | 0 |
| D. | -1 |
| Answer» B. 2 | |
| 19. |
If $$ {Acos^{2} +Bsin^{2} }={sin^{2} (sec^{2} +1) over{sec^{2} -1}}$$ and cot =? |
| A. | $${ sqrt{B-2 over2-A}}$$ |
| B. | $${ sqrt{B-1 over2-A}}$$ |
| C. | $${ sqrt{B-1 over A-2}}$$ |
| D. | $${ sqrt{2-B over 2-A}}$$ |
| Answer» C. $${ sqrt{B-1 over A-2}}$$ | |
| 20. |
The value of $$ {tan 40 +tan 20 + sqrt{3} tan20 tan40 }$$? |
| A. | $$ { sqrt{12}}$$ |
| B. | $$ {1 over{ sqrt{3}}}$$ |
| C. | 1 |
| D. | $$ { sqrt{3}}$$ |
| Answer» E. | |
| 21. |
If a=tan + 1 and b=sin +cos then find (b2-1)a=? |
| A. | ab |
| B. | 2bsec |
| C. | 2b |
| D. | 2bsin |
| Answer» E. | |
| 22. |
If sin -cos = ({7 over13} ) and 0 < |
| A. | ({17 over13} ) |
| B. | ({13 over17} ) |
| C. | ({1 over13} ) |
| D. | ({1 over17} ) |
| Answer» B. ({13 over17} ) | |
| 23. |
If 3 tan - 4 = 0 and 180 < < 270 then cosec = _______ |
| A. | $$- {5 over4}$$ |
| B. | $$ {4 over5}$$ |
| C. | $$ -{4 over5}$$ |
| D. | $$-{5 over4}$$ |
| Answer» B. $$ {4 over5}$$ | |
| 24. |
The value of $$ cot { over 20} cot{3 over 20} cot{5 over20} cot{7 over 20} cot {9 over20}$$ is: |
| A. | -1 |
| B. | $$ {1 over 2}$$ |
| C. | 0 |
| D. | 1 |
| Answer» E. | |
| 25. |
If $$ sin ={20 over 29}$$, then what is the value of sec sin ? |
| A. | $$ {20 over 21}$$ |
| B. | $$ {29 over 20}$$ |
| C. | $$ {21 over 20}$$ |
| D. | $$ {21 over 29}$$ |
| Answer» B. $$ {29 over 20}$$ | |
| 26. |
What is the value of the following |
| A. | cosec A |
| B. | cos A |
| C. | secA |
| D. | sinA |
| Answer» D. sinA | |
| 27. |
If cosec 39 = x, the value of $$ {1 over {cosec^{2}{51 }}} +sin^{2} 39^{ }+tan^{2}{51^{ }}-{1 over {sin^{2}{51^{ }}}{Sec^{2}{39^{ }}}}$$ is- |
| A. | $$ { sqrt{x^{2}-1}}$$ |
| B. | $$ { sqrt{1-x^{2}}}$$ |
| C. | $$ {x^{2}-1}$$ |
| D. | $$ {1-x^{2}}$$ |
| Answer» D. $$ {1-x^{2}}$$ | |
| 28. |
If $$ {2 sin -cos over {cos +sin }}=1$$, then value of cot is: |
| A. | $$ {1 over2}$$ |
| B. | $$ {1 over3}$$ |
| C. | 3 |
| D. | 2 |
| Answer» B. $$ {1 over3}$$ | |
| 29. |
If sin cos = 7/13 and 00 < < 900 , then the value of sin + cos is : |
| A. | 17/13 |
| B. | 13/17 |
| C. | 1/13 |
| D. | 1/17 |
| Answer» B. 13/17 | |
| 30. |
The value of $${cosec^2} 18 -{1 over cot^272 }$$. |
| A. | $${1 over sqrt { 3}}$$ |
| B. | $$ sqrt2 over {3 } $$ |
| C. | $${1 over2} $$ |
| D. | 1 |
| Answer» E. | |
| 31. |
Simplify $$ sqrt{(1-sin^{2} ) (1-cos^{2} )}$$. |
| A. | Cot |
| B. | Tan |
| C. | Sec |
| D. | Cosec |
| Answer» B. Tan | |
| 32. |
The value of $$(x^{b+c})^{b-c}. (x^{c+a})^{c-a}.(x^{a+b})^{a-b}$$ when (x 0). |
| A. | 1 |
| B. | 2 |
| C. | -1 |
| D. | 0 |
| Answer» B. 2 | |
| 33. |
The value of $$ {(sec^{2} +tan cot -tan^{2} )}$$ |
| A. | 1 |
| B. | 2 |
| C. | 0 |
| D. | 4 |
| Answer» C. 0 | |
| 34. |
What is the value of $$ {2tan53 over cot37 } -{cot80 over tan10 }$$ is: |
| A. | 3 |
| B. | 2 |
| C. | 1 |
| D. | 0 |
| Answer» D. 0 | |
| 35. |
If cos3A = X, then value of X? |
| A. | 4cos3A + 3cosA |
| B. | 3cosA 4cos3A |
| C. | cosA + 4cos3A |
| D. | 4cos3A 3cosA |
| Answer» E. | |
| 36. |
(secA 1)/(secA + 1) is equal to? |
| A. | (1 sinA)/(1 + sinA) |
| B. | (1 cosA)/(1 + cosA) |
| C. | (1 + cosA)/(1 cosA) |
| D. | (1 + sinA)/(1 sinA) |
| Answer» C. (1 + cosA)/(1 cosA) | |
| 37. |
If cos2 + cos2 = 2, then the value of tan3 + sin5 is : |
| A. | 1 |
| B. | 0 |
| C. | 1 |
| D. | $$ {1 over 3 } $$ |
| Answer» C. 1 | |
| 38. |
If cos = $${1 over sqrt{10}}$$, then tan is equal to. |
| A. | $$ {1 over sqrt{3} } $$ |
| B. | $$ {1 over 3 } $$ |
| C. | $$ { sqrt{3} } $$ |
| D. | 3 |
| Answer» E. | |
| 39. |
Solve the given equation.$$ {{cot 30 } over {1+sin 45 }}+{{1+sin 45 } over cot 30 }=?$$ |
| A. | $$ {5 sqrt{3}}-{6 sqrt{6}} over 6$$ |
| B. | $$ {3-2 sqrt{3}}$$ |
| C. | $$ {14 sqrt{3}}-{5 sqrt{6}} over 6$$ |
| D. | $$ {6 sqrt{6}}-{5 sqrt{3}} over 6$$ |
| Answer» D. $$ {6 sqrt{6}}-{5 sqrt{3}} over 6$$ | |
| 40. |
One angle of a triangle is 55 . If the other two angles are in the ratio 9:16, find the angles? |
| A. | 65 115 |
| B. | 90 160 |
| C. | 55 165 |
| D. | 45 80 |
| Answer» E. | |
| 41. |
If $$ sin( +30^0)= {3 over sqrt { 12} } $$ then find cos2 : |
| A. | $$ {1 over 4} $$ |
| B. | $$ {3 over 4} $$ |
| C. | $${ sqrt { 3} } over 2 $$ |
| D. | $$ {1 over 2} $$ |
| Answer» C. $${ sqrt { 3} } over 2 $$ | |
| 42. |
If x cos2300. sin600=$${tan^2{45}^0.sec60^0} over cosec 60^0$$ then the value of x : |
| A. | $$ 1 over sqrt { 3} $$ |
| B. | $$ 2{2 over 3} $$ |
| C. | $$ 1 over sqrt { 2} $$ |
| D. | $$ {1 over 2} $$ |
| Answer» C. $$ 1 over sqrt { 2} $$ | |
| 43. |
If $$ {sin cosec over tan }=4 $$ then Find the value of tan ? |
| A. | 4 |
| B. | $$ {1 over 4}$$ |
| C. | 3 |
| D. | 5 |
| Answer» C. 3 | |
| 44. |
If $$ { sqrt{3} CosA=SinA}$$ then what is the value of Cot A? |
| A. | $$ { sqrt{3}}$$ |
| B. | $$ {2 over { sqrt{3}}}$$ |
| C. | $$ {1 over { sqrt{3}}}$$ |
| D. | 2 |
| Answer» D. 2 | |
| 45. |
If 4sin2 1 = 0 and angle is less than 900. The value of cos2 + tan2 is: (Take 00 < < 900) |
| A. | $$ 13 over 12$$ |
| B. | $$ 12 over 11$$ |
| C. | $$ 11 over 9$$ |
| D. | $$ 17 over 15$$ |
| Answer» B. $$ 12 over 11$$ | |
| 46. |
If tan = 2, then the value of $$ {cosec^2 - sec^2 } over{cosec^2 + sec^2 } $$ is : |
| A. | $$ -{15 over 9} $$ |
| B. | $$ {3 over 5} $$ |
| C. | $$ -{3 over 5} $$ |
| D. | $$ {17 over 5} $$ |
| Answer» D. $$ {17 over 5} $$ | |
| 47. |
If 0 900 and 4cos2 - $$4{ sqrt { 3} }cos $$ + 3 = 0, then the value of is : |
| A. | $$30^0$$ |
| B. | $$90^0$$ |
| C. | $$45^0$$ |
| D. | $$60^0$$ |
| Answer» B. $$90^0$$ | |
| 48. |
If 2sin2 3 sin + 1 = 0, being positive angle, then the values of are : |
| A. | $$ 30^0, 90^0$$ |
| B. | $$ 60^0, 55^0$$ |
| C. | $$ 60^0, 45^0$$ |
| D. | $$ 45^0, 55^0$$ |
| Answer» B. $$ 60^0, 55^0$$ | |
| 49. |
The value of sec4 A (1 sin4A) 2tan2A is: |
| A. | $$ {1 over 2} $$ |
| B. | 0 |
| C. | 2 |
| D. | 1 |
| Answer» E. | |
| 50. |
The value of $$ sec{^4}A(1-sin{^4}A)-2tan{^2}A $$ is: |
| A. | $$ {1 over2}$$ |
| B. | 0 |
| C. | 2 |
| D. | 1 |
| Answer» E. | |