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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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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