CUET · MATHS · PYQ PAPER 2025
Arrange the principal values of the following functions in ascending order
(A) \(\operatorname{cosec}^{-1}(2)\)
(B) \(\tan ^{-1}(-\sqrt{3})\)
(C) \(\tan ^{-1}(1)\)
(D) \(\tan ^{-1}\left(\cos \frac{3 \pi}{2}\right)\)
Choose the correct answer from the options given below:
- A (A), (B), (C), (D)
- B (A), (D), (B), (C)
- C (B), (D), (A), (C)
- D (D), (A), (B), (C)
Answer & Solution
Correct Answer
(C) (B), (D), (A), (C)
Step-by-step Solution
Detailed explanation
(A) \( \operatorname{cosec}^{-1}(2) = \frac{\pi}{6} \) (B) \( \tan^{-1}(-\sqrt{3}) = -\frac{\pi}{3} \) (C) \( \tan^{-1}(1) = \frac{\pi}{4} \) (D) \( \tan^{-1}\left(\cos \frac{3 \pi}{2}\right) = \tan^{-1}(0) = 0 \) Values: (A) \( \frac{\pi}{6} \), (B) \( -\frac{\pi}{3} \), (C)…
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