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Choose the correct answer
is equal to
We need to find the value of:
Take cosine on both sides, we get
Using property of inverse trigonometry,
cos(cos-1 A) = A
We have the value of cos x, let us find the value of sin x.
By trigonometric identity,
sin2 x + cos2 x = 1
⇒ sin2 x = 1 – cos2 x
Using the trigonometric identity,
sin 2x = 2 sin x cos x
Putting the value of and ,