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.