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


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