Question

Statement-I : Range of $\cos \left(\sec ^{-1} \frac{1}{x}+\operatorname{cosec}^{-1} \frac{1}{x}+\tan ^{-1} x\right)$ is $\left[-\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right]$ Because
Statement-II : Range of $\sin ^{-1} x +\tan ^{-1} x +\cos ^{-1} x$ is $\left[\frac{\pi}{4}, \frac{3 \pi}{4}\right]$.

• A. Statement-I is true, Statement-II is true; Statement-II is correct explanation for Statement-I.
• B. Statement-I is true, Statement-II is true; Statement-II is NOT a correct explanation for statement-I.
• C. Statement-I is true, Statement-II is false.
• D. Statement-I is false, Statement-II is true.

Answer 1

Answer: (D)

Correct answer is (d) Statement-I is false, Statement-II is true.