RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 7 of Exercise 4.7

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7

Write each of the following in the simplest form:

Assume x = tanθ


= tan–1


= tan–1


= tan–1


= tan–1


= tan–1


Cos θ = 2 cos2 –1 and sinθ =


1 + cosθ = 2 cos2


= tan–1


= tan–1


= tan–1(cot)


cot = tan


= tan–1(tan)


But θ = tan–1x.



Therefore, the simplification of given equation is


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