RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 4 of Very short answer

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Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

If x > 1, then write the value of in terms of tan–1 x.

Given x > 1

tan θ > 1

Multiplying by -2,

Subtracting with π,

We know that

Put tan θ = x

For x > 1,

Since x = tan θ

θ = tan-1 x

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