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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4

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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