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

Listen NCERT Audio Books to boost your productivity and retention power by 2X.


Evaluate each of the following:

tan–1 (tan 2)

As, tan–1(tan x) = x

Provided x ϵ

Here our x is 2 which does not belong to our range

We know tan(π –θ) = –tan(θ)

tan(θ –π ) = tan(θ)

tan(2–π ) = tan(2)

Now 2–π is in the given range

tan–1 (tan 2) = 2–π

Chapter Exercises

More Exercise Questions