# If , x2 ≤ 1 ,then find .

Given:

To find:

Put x2 = cos 2θ

1 + x2 = 1 + cos 2θ

1 + x2 = 2 cos2 θ

Similarly,

1 – x2 = 1 – cos 2θ

1 – x2 = 2 sin2 θ

x2 = cos 2θ

2θ = cos-1(x2)

Differentiating both sides with respect to x:

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