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Solution - Inverse Trigonometric Functions (Simplification and Examples)

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Question

Prove that

`tan^(-1) [(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))]=pi/4-1/2 cos^(-1)x,-1/sqrt2<=x<=1`

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Reference Material

Solution for concept: Inverse Trigonometric Functions (Simplification and Examples). For the courses 12th CBSE (Arts), 12th CBSE (Commerce), 12th CBSE (Science)
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