MCQOPTIONS
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MCQOPTIONS
This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
sin-1 x+cos1 x= ___ |
| A. | ( frac{ }{2} ) |
| B. | |
| C. | ( frac{ }{3} ) |
| D. | 2 |
| Answer» B. | |
| 2. |
What is the value of 2 tan-1 x in terms of sin-1 ? |
| A. | sec<sup>-1</sup> u2061x |
| B. | 2 sec<sup>-1</sup> u2061x |
| C. | 2 sec<sup>-1</sup> u2061 (( sqrt{1+x^2}) ) |
| D. | sec<sup>-1</sup> u2061 (( sqrt{1+x^2}) ) |
| Answer» D. sec<sup>-1</sup> u2061 (( sqrt{1+x^2}) ) | |
| 3. |
Find the value of sin-1 ( ( frac{3}{5} ))+sin-1 ( ( frac{4}{5} ))+cos-1 (( frac{ sqrt{3}}{2}) ). |
| A. | ( frac{ }{3} ) |
| B. | ( frac{2 }{3} ) |
| C. | ( frac{4 }{3} ) |
| D. | ( frac{ }{4} ) |
| Answer» C. ( frac{4 }{3} ) | |
| 4. |
Find the value of tan-1 ( ( frac{1}{3} ))+tan-1 ( ( frac{1}{5} ))+tan-1 ( frac{1}{7})[/latex] |
| A. | tan<sup>-1</sup> u2061 (( frac{4}{7}) ) |
| B. | tan<sup>-1</sup> u2061 (( frac{9}{7}) ) |
| C. | tan<sup>-1</sup> u2061 (( frac{7}{9}) ) |
| D. | tan<sup>-1</sup> u20611 |
| Answer» D. tan<sup>-1</sup> u20611 | |
| 5. |
Find the value of sin-1 ( ( frac{5}{13} ))+cos-1 ( ( frac{3}{5} )). |
| A. | sin<sup>-1</sup> u2061( ( frac{63}{65} )) |
| B. | sin<sup>-1</sup> u20611 |
| C. | 0 |
| D. | sin<sup>-1</sup> u2061( ( frac{64}{65} )) |
| Answer» B. sin<sup>-1</sup> u20611 | |
| 6. |
What is the solution of cot (sin-1 x)? |
| A. | ( frac{ sqrt{1-x^2}}{x} ) |
| B. | x |
| C. | ( sqrt{1-x^2} ) |
| D. | ( sqrt{1+x^2} ) |
| Answer» B. x | |
| 7. |
What is the value of cos (tan-1 ( ( frac{4}{5} )))? |
| A. | ( frac{5}{4} ) |
| B. | ( frac{5}{ sqrt{41}} ) |
| C. | ( frac{ sqrt{41}}{5} ) |
| D. | ( frac{4}{5} ) |
| Answer» C. ( frac{ sqrt{41}}{5} ) | |
| 8. |
What is sec-1 x in terms of tan-1 ? |
| A. | tan<sup>-1</sup> u2061 ( sqrt{1+x^2} ) |
| B. | tan<sup>-1</sup> u20611+x<sup>2</sup> |
| C. | tan<sup>-1</sup> u2061x |
| D. | tan<sup>-1</sup> u2061 ( sqrt{x^2-1} ) |
| Answer» E. | |
| 9. |
sin-1 x in terms of cos-1 is ____________ |
| A. | cos<sup>-1</sup> u2061 ( sqrt{1+x^2} ) |
| B. | cos<sup>-1</sup> u2061 ( sqrt{1-x^2} ) |
| C. | cos<sup>-1</sup> u2061x |
| D. | cos<sup>-1</sup> ( frac{ u20611}{x} ) |
| Answer» C. cos<sup>-1</sup> u2061x | |