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Prove that tan^-1 {(√1+ cos x + √ 1 - cos x)/ (√1+ cos x) - (1-cos x)} = π/4 + x/2, if 0 < x < π/2.

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Prove that tan-1 {(√1+ cos x + √ 1 - cos x)/ (√1+ cos x) - (1-cos x)} = π/4 + x/2, if 0 < x < π/2.

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tan-1 {(√1+ cos x + √ 1 - cos x)/ (√1+ cos x) - (1-cos x)} = π/4 + x/2

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