Q11 of 30 Page 5

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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