Sin Inverse X Plus Sin Inverse Y Formula 

Let A = sin^-1x.

Then, we have

sinA = x

Already we know the trigonometric identity

sin²A + cos²A = 1

x² + cos²A = 1

cos²A = 1 - x²

Let B = sin^-1y.

Then, we have

sinB = y

sin²B + cos²B = 1

y² + cos²B = 1

cos²B = 1 - y²

We know the following compound angle formula.

sin(A + B) = sinAcosB + cosAsinB

Substitute.

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