RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 21 of MCQ

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21

Choose the correct answer

is equal to


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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