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 12)

As, tan–1(tan x) = x

Provided x ϵ

Here our x is 12 which does not belong to our range

We know tan(nπ –θ) = –tan(θ)

tan(θ –2nπ ) = tan(θ)

Here n = 4

tan(12–4π ) = tan(12)

Now 12–4π is in the given range

tan–1 (tan 12) = 12–4π.

Chapter Exercises

More Exercise Questions