Prove that:


To Prove:


Formula Used: sin 2A = 2 × sin A × cos A


Proof:


LHS … (1)


Let x = sin A … (2)


Substituting (2) in (1),


LHS


= sin-1 (2 × sin A × cos A)


= sin-1 (sin 2A)


= 2A


From (2), A = sin-1 x,


2A = 2 sin-1 x


= RHS


Therefore, LHS = RHS


Hence proved.


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