MCQOPTIONS
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MCQOPTIONS
This section includes 12 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Solve: tan x = cot x |
| A. | x = nπ/2 + (π/4) |
| B. | x = nπ + (3π/4) |
| C. | x = nπ + (π/4) |
| D. | x = nπ/2 + (3π/4) |
| Answer» B. x = nπ + (3π/4) | |
| 2. |
Find general solution to equation cot x = √3. |
| A. | x = nπ + π/3 |
| B. | x = nπ + π/6 |
| C. | x = nπ + 2π/3 |
| D. | x = nπ + 5π/6 |
| Answer» C. x = nπ + 2π/3 | |
| 3. |
Find general solution to equation cos x = – 1/√2. |
| A. | x = 2nπ±7π/4 |
| B. | x = 2nπ±3π/4 |
| C. | x = 2nπ±π/4 |
| D. | x = 2nπ±π/3 |
| Answer» D. x = 2nπ±π/3 | |
| 4. |
Find general solution to equation sin x = 1/2. |
| A. | x = nπ + (-1)n π/3 |
| B. | x = nπ + (-1)n π/6 |
| C. | x = nπ + (-1)n 2π/3 |
| D. | x = nπ + (-1)n 5π/6 |
| Answer» E. | |
| 5. |
Find the principal solutions of the equation cot x=1/√3. |
| A. | π/3, 4π/3 |
| B. | 2π/3, 5π/3 |
| C. | 4π/3, 5π/3 |
| D. | π/3, 5π/3 |
| Answer» B. 2π/3, 5π/3 | |
| 6. |
Find the principal solutions of the equation cosec x=2. |
| A. | π/6, 5π/6 |
| B. | π/6, 7π/6 |
| C. | 5π/6, 11π/6 |
| D. | 5π/6, 7π/6 |
| Answer» B. π/6, 7π/6 | |
| 7. |
Find the principal solutions of the equation sin x = -1/√2. |
| A. | π/4, 3π/4 |
| B. | 3π/4, 5π/4 |
| C. | 3π/4, 7π/4 |
| D. | 5π/4, 7π/4 |
| Answer» E. | |
| 8. |
Find the principal solutions of the equation sec x = -2. |
| A. | 2π/3, 4π/3 |
| B. | 2π/3, 5π/3 |
| C. | 4π/3, 5π/3 |
| D. | π/3, 5π/3 |
| Answer» B. 2π/3, 5π/3 | |
| 9. |
Find the principal solutions of the equation tan x = – √3. |
| A. | π/6, 5π/6 |
| B. | π/3, 5π/3 |
| C. | π/3, 2π/3 |
| D. | 2π/3, 5π/3 |
| Answer» E. | |
| 10. |
Find the principal solutions of the equation cos x = 1/2. |
| A. | π/6, 5π/6 |
| B. | π/3, 5π/3 |
| C. | π/3, 2π/3 |
| D. | 2π/3, 5π/3 |
| Answer» C. π/3, 2π/3 | |
| 11. |
The expression involving integer ‘n’ which gives all solutions of a trigonometric equation is called the principal solution. |
| A. | True |
| B. | False |
| Answer» C. | |
| 12. |
The solutions of a trigonometric equation for which ___________ are called principal solutions. |
| A. | 0 < x < 2π |
| B. | 0 ≤ x < π |
| C. | 0 ≤ x < 2π |
| D. | 0 ≤ x < nπ |
| Answer» D. 0 ≤ x < nπ | |