Show that the equation is an identity.cos(2 cos-1 x) = 2x2 - 1

What will be an ideal response?


cos 2? = 2 cos2? - 1 is the Double-Angle Identity
Let ? = cos-1 x. Then cos(2 cos-1 x) = 2 cos2(cos-1 x) - 1 = 2x2 - 1

Mathematics

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