Answer :

We need to find the value of:


Let


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



Putting ,







Now,



Using the trigonometric identity,


sin 2x = 2 sin x cos x



Putting the value of and ,



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