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√2≤x≤1.

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asked Jan 15, 2018 in Mathematics by sforrest072 (157,439 points)
edited Mar 6, 2018 by faiz

Prove that tan⁻¹(√(1+x)−√(1−x)/√(1+x)+√(1−x))=π/4−1/2cos⁻¹x,−1/√2≤x≤1.

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answered Jan 15, 2018 by mdsamim (213,225 points)
selected Jan 15, 2018 by sforrest072

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Prove that tan^−1(√(1+x)−√(1−x)/√(1+x)+√(1−x))=π/4−1/2cos−1x,−1/√2≤x≤1.

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