RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 6 of MCQ

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Choose the correct answer

If , then x =

We are given that,


We need to find the value of x.

By using the property of inverse trigonometry,

We can find the value of sin-1 x in the terms of cos-1 x.

Substituting the value of sin-1 x in equation (i),

Simplifying it further,

Multiplying cosine on both sides of the equation,

Using property of inverse trigonometry,

cos[cos-1 x] = x

And we know the value,


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