JEE (Main) Mathematics - Trigonometry MCQs (31 to 45)

1. 31. The value of \( \sin^{-1}(0) \) is:

   • A) \( 0 \)
   • B) \( \frac{\pi}{2} \)
   • C) \( \frac{\pi}{4} \)
   • D) \( \frac{\pi}{3} \)

   Answer: A) \( 0 \)

2. 32. The value of \( \tan^{-1}(1) \) is:

   • A) \( 0 \)
   • B) \( \frac{\pi}{4} \)
   • C) \( \frac{\pi}{2} \)
   • D) \( \pi \)

   Answer: B) \( \frac{\pi}{4} \)

3. 33. If \( \sin \theta = \frac{3}{5} \), then \( \cos \theta \) is:

   • A) \( \frac{4}{5} \)
   • B) \( \frac{5}{4} \)
   • C) \( \frac{3}{4} \)
   • D) \( \frac{1}{2} \)

   Answer: A) \( \frac{4}{5} \)

4. 34. The range of \( \cos^{-1} x \) is:

   • A) \( [0, \pi] \)
   • B) \( [-\frac{\pi}{2}, \frac{\pi}{2}] \)
   • C) \( [0, 2\pi] \)
   • D) \( [-\pi, \pi] \)

   Answer: A) \( [0, \pi] \)

5. 35. The value of \( \sin^{-1}(1) \) is:

   • A) \( \frac{\pi}{2} \)
   • B) \( \frac{\pi}{4} \)
   • C) \( 0 \)
   • D) \( \pi \)

   Answer: A) \( \frac{\pi}{2} \)

6. 36. The identity \( \cos(2\theta) \) is:

   • A) \( \cos^2 \theta - \sin^2 \theta \)
   • B) \( 1 - \sin^2 \theta \)
   • C) \( 2 \sin \theta \cos \theta \)
   • D) \( \cos \theta + \sin \theta \)

   Answer: A) \( \cos^2 \theta - \sin^2 \theta \)

7. 37. The value of \( \tan^{-1}(0) \) is:

   • A) \( 0 \)
   • B) \( \frac{\pi}{4} \)
   • C) \( \frac{\pi}{2} \)
   • D) \( \pi \)

   Answer: A) \( 0 \)

8. 38. If \( \cos \theta = \frac{1}{2} \), then the value of \( \sin \theta \) is:

   • A) \( \frac{\sqrt{3}}{2} \)
   • B) \( \frac{1}{2} \)
   • C) \( \frac{3}{4} \)
   • D) \( \frac{\sqrt{2}}{2} \)

   Answer: A) \( \frac{\sqrt{3}}{2} \)

9. 39. The value of \( \sec^{-1}(2) \) is:

   • A) \( \frac{\pi}{3} \)
   • B) \( \frac{\pi}{4} \)
   • C) \( \frac{\pi}{2} \)
   • D) \( \frac{\pi}{6} \)

   Answer: A) \( \frac{\pi}{3} \)

10. 40. The inverse function of \( \sin \theta \) is:

    • A) \( \cos^{-1} \theta \)
    • B) \( \sin^{-1} \theta \)
    • C) \( \tan^{-1} \theta \)
    • D) \( \cot^{-1} \theta \)

    Answer: B) \( \sin^{-1} \theta \)

11. 41. The principal value of \( \tan^{-1}(1) \) is:

    • A) \( 0 \)
    • B) \( \frac{\pi}{4} \)
    • C) \( \frac{\pi}{3} \)
    • D) \( \frac{\pi}{2} \)

    Answer: B) \( \frac{\pi}{4} \)

12. 42. The trigonometric identity for \( \sin(2\theta) \) is:

    • A) \( 2 \sin \theta \cos \theta \)
    • B) \( \sin^2 \theta - \cos^2 \theta \)
    • C) \( 2 \cos \theta \)
    • D) \( 2 \sin^2 \theta - 1 \)

    Answer: A) \( 2 \sin \theta \cos \theta \)

13. 43. Which of the following is the correct identity for \( \sin(2\theta) \)?

    • A) \( \sin^2 \theta + \cos^2 \theta \)
    • B) \( 2 \sin \theta \cos \theta \)
    • C) \( 2 \sin^2 \theta - 1 \)
    • D) \( \cos^2 \theta - \sin^2 \theta \)

    Answer: B) \( 2 \sin \theta \cos \theta \)

14. 44. The value of \( \sec^{-1}(1) \) is:

    • A) \( \frac{\pi}{2} \)
    • B) \( 0 \)
    • C) \( \frac{\pi}{3} \)
    • D) \( \pi \)

    Answer: B) \( 0 \)

15. 45. The value of \( \tan(45^\circ) \) is:

    • A) \( 0 \)
    • B) \( 1 \)
    • C) \( \infty \)
    • D) \( \sqrt{2} \)

    Answer: B) \( 1 \)

   l    Next Page >>

Note/Caution: studentsbizz.com does not promise a job or an interview in exchange for money. Fraudsters may ask you to pay under the pretext of a registration fee or refundable fee, but please be aware that legitimate employers will not require such payments.

Join in Our Groups

Home Latest Jobs Syllabus Projects Previous Question Papers Entrance Exam Notifications Multiple Choice Question

@ 2025 Students Bizz Platform. All Rights Reserved.