JEE (Main) Mathematics - Trigonometry Multiple Choice Questions (MCQs)

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JEE (Main) Mathematics - Trigonometry MCQs

If \( \sin \theta = \frac{3}{5} \), then \( \cos \theta \) is:
- A) \( \frac{4}{5} \)
- B) \( \frac{3}{5} \)
- C) \( \frac{5}{4} \)
- D) \( \frac{2}{5} \)
Answer: A) \( \frac{4}{5} \)
The value of \( \cos 90^\circ \) is:
- A) 1
- B) 0
- C) \( \frac{1}{2} \)
- D) \( \sqrt{2} \)
Answer: B) 0
The identity \( \sin^2 \theta + \cos^2 \theta = \) is:
- A) 0
- B) 1
- C) \( \sin 2\theta \)
- D) \( \cos 2\theta \)
Answer: B) 1
The value of \( \tan^{-1} 1 \) is:
- A) \( \frac{\pi}{2} \)
- B) \( \frac{\pi}{4} \)
- C) \( \frac{\pi}{3} \)
- D) 1
Answer: B) \( \frac{\pi}{4} \)
If \( \sec \theta = 2 \), then \( \cos \theta \) is:
- A) \( \frac{1}{2} \)
- B) 2
- C) \( \frac{1}{4} \)
- D) \( \frac{1}{\sqrt{3}} \)
Answer: A) \( \frac{1}{2} \)
The value of \( \cot^{-1} x \) is:
- A) \( \frac{\pi}{2} - \tan^{-1} x \)
- B) \( \tan^{-1} x \)
- C) \( \frac{\pi}{4} - \tan^{-1} x \)
- D) \( \frac{\pi}{3} - \tan^{-1} x \)
Answer: A) \( \frac{\pi}{2} - \tan^{-1} x \)
If \( \tan \theta = 2 \), then \( \sec \theta \) is:
- A) \( \sqrt{5} \)
- B) 2
- C) 1
- D) \( \sqrt{3} \)
Answer: A) \( \sqrt{5} \)
The range of \( \sin^{-1} x \) is:
- A) \( [0, \pi] \)
- B) \( [-\frac{\pi}{2}, \frac{\pi}{2}] \)
- C) \( [-\pi, \pi] \)
- D) \( [0, 2\pi] \)
Answer: B) \( [-\frac{\pi}{2}, \frac{\pi}{2}] \)
The value of \( \cos 180^\circ \) is:
- A) 1
- B) -1
- C) 0
- D) \( \sqrt{2} \)
Answer: B) -1
The sum of \( \sin \theta + \cos \theta \) is maximized when:
- A) \( \theta = 0^\circ \)
- B) \( \theta = 45^\circ \)
- C) \( \theta = 90^\circ \)
- D) \( \theta = 30^\circ \)
Answer: B) \( \theta = 45^\circ \)
If \( \tan \theta = 3 \), then \( \cot \theta \) is:
- A) 3
- B) \( \frac{1}{3} \)
- C) \( \sqrt{3} \)
- D) 1
Answer: B) \( \frac{1}{3} \)
The inverse function of \( \tan \theta \) is:
- A) \( \sec^{-1} \theta \)
- B) \( \cos^{-1} \theta \)
- C) \( \tan^{-1} \theta \)
- D) \( \sin^{-1} \theta \)
Answer: C) \( \tan^{-1} \theta \)
The value of \( \cos^{-1} \left( \frac{1}{2} \right) \) is:
- A) \( \frac{\pi}{6} \)
- B) \( \frac{\pi}{3} \)
- C) \( \frac{\pi}{4} \)
- D) \( \frac{\pi}{2} \)
Answer: A) \( \frac{\pi}{6} \)
The value of \( \sin 90^\circ \) is:
- A) 1
- B) 0
- C) \( \frac{1}{2} \)
- D) \( \sqrt{2} \)
Answer: A) 1
The principal value of \( \cos^{-1} x \) is:
- A) \( [0, \pi] \)
- B) \( [-\pi, \pi] \)
- C) \( [-\frac{\pi}{2}, \frac{\pi}{2}] \)
- D) \( [0, 2\pi] \)
Answer: A) \( [0, \pi] \)

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JEE (Main) Mathematics - Trigonometry MCQs

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