Q. 224.0( 3 Votes )

Solve the equatio

Answer :

To solve for x: sin-1 x + sin-1 (1 – x) = cos-1 x


Let cos-1 x = θ


x = cos θ


We know,





We have,


sin-1 x + sin-1 (1 – x) = cos-1 x


Put cos-1 x = θ:


sin-1 x + sin-1 (1 – x) = θ



















OR









Squaring both sides:










Hence Proved

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