SOLUTION: Prove that sin[2cos^-¹(x)]=(2x)√(1-x²)

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Question 1196147: Prove that sin[2cos^-¹(x)]=(2x)√(1-x²)
Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is simply another form of the identity

    sin(2a) = 2*sin(a)*cos(a),


where a = arccos(x), x = cos(a), sin(a) = sqrt%281-x%5E2%29.