No.
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The deriviative of sin2 x + cos2 x is 2 cos x - 2 sin x
Do sin(x), square it, and then multiply it by two.
The answer is 1. sin^2 x cos^2/sin^2 x 1/cos^2 cos^2 will be cancelled =1 sin^2 also will be cancelled=1 1/1 = 1
1
cos(2x) = 1 - 2(sin(x)^2), so sin(x)^2 = 1/2 - 1/2*cos(2x).