Question

The range of \( x \) for which the equation \( \sin^{-1}\left(\frac{2x}{1+x^2}\right) = 2\tan^{-1}(x) \) holds true

• A. \( |x|\leq 1 \)
• B. \( \forall x\in R \)
• C. \( x\geq 0 \)
• D. \( |x|\geq 1 \)

Hint:

While using inverse trigonometric identities, always check the principal value range before directly cancelling inverse and trigonometric functions.

Answer 1

The Correct Option is A