Advertisement Remove all ads

Find the Domain of Sec − 1 X − Tan − 1 X - Mathematics

Short Note

Find the domain of `sec^(-1) x-tan^(-1)x`

Advertisement Remove all ads

Solution

Let f(x) = g(x) − h(x), where g(x)=cotx and h(x)=cot1x
Therefore, the domain of f(x) is given by the intersection of the domain of g(x) and h(x)
The domain of g(x) is [0,  π/2) ⋃ [ π, 3π/2)
The domain of h(x) is `(-π/2,π/2)` 
Therfore, the intersection of g(x) and h(x) is R − { nπ, n ⋵ Z}

Concept: Inverse Trigonometric Functions (Simplification and Examples)
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 12 Maths
Chapter 4 Inverse Trigonometric Functions
Exercise 4.4 | Q 3.2 | Page 18
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×