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i tried using chain rule, with u = sin x

I get -cosx/sin x

but answer is

1/(1-x²)^1/2

I get -cosx/sin x

but answer is

1/(1-x²)^1/2

y=sin-1x

sin y = x

cos y = dx/dy

dy/dx=1/cos y

and....

sin y=x

sin^2y=x^2

1-cos^2y=x^2

(1-x^2)^1/2= cos y sub that into 1/cos y

sin y = x

cos y = dx/dy

dy/dx=1/cos y

and....

sin y=x

sin^2y=x^2

1-cos^2y=x^2

(1-x^2)^1/2= cos y sub that into 1/cos y

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