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 ,



Chapter Exercises

Exercise 4.1
Exercise 4.2
Exercise 4.3
Exercise 4.4
Exercise 4.5
Exercise 4.6
Exercise 4.7
Exercise 4.8
Exercise 4.9
Exercise 4.10
Exercise 4.11
Exercise 4.12
Exercise 4.13
Exercise 4.14
Very short answer
MCQ

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