RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 24 of MCQ

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If , then the value of x is

We are given that,

4 cos-1 x + sin-1 x = π …(i)

We need to find the value of x.

Using the property of inverse trigonometry,

Replacing θ by x, we get

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

4 cos-1 x + sin-1 x = π

Taking cosines on both sides,

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