RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 3 of Exercise 4.7

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3

Evaluate each of the following:

tan–1 (tan 4)

As, tan–1(tan x) = x


Provided x ϵ


Here our x is 4 which does not belong to our range


We know tan(π –θ) = –tan(θ)


∴ tan(θ –π ) = tan(θ)


∴ tan(4–π ) = tan(4)


Now 4–π is in the given range


∴ tan–1 (tan 4) = 4–π


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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