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


Chapter Exercises

Exercise 4.1
Exercise 4.2
Exercise 4.3
Exercise 4.4
Exercise 4.5
Exercise 4.6
Exercise 4.7
Exercise 4.8
Exercise 4.9
Exercise 4.10
Exercise 4.11
Exercise 4.12
Exercise 4.13
Exercise 4.14
Very short answer
MCQ

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