Correct option is 2-2 tan−1⁡x

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If $- \infty < x \leq 0,$ then $\cos^{- 1} (\frac{1 - x^{2}}{1 + x^{2}})$ equals

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2 tan−1⁡x

-2 tan−1⁡x

π−2 tan−1⁡x

π+2 tan−1⁡x

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detailed solution

Correct option is B

Let tan−1⁡x=θ. Then, x=tan⁡θNow, −∞

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If −∞<x≤0, then cos−1⁡1−x21+x2 equals

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If $- \infty < x \leq 0,$ then $\cos^{- 1} (\frac{1 - x^{2}}{1 + x^{2}})$ equals