Prove that ^ -1 ( cosec x x cosec x + x ) = 4 - x 2 where - 2 x 2 .
Mathematics · Class 12 · CBSE — Inverse Trigonometric Functions
Prove that \(\tan^{-1}\left(\frac{\text{cosec } x}{\sec x \cdot \text{cosec } x + \sec x}\right) = \frac{\pi}{4} - \frac{x}{2}\) where \(-\frac{\pi}{2} \lt x \lt \frac{\pi}{2}\).
Answer
Proved.
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