Question
Mathematics Question on Inverse Trigonometric Functions
cos−1(cosx)=x is satisfied by
A
x∈R
B
x∈[0,π]
C
x∈[−1,1]
D
none of these
Answer
x∈[0,π]
Explanation
Solution
cos−1(cosx)=x if 0≤x≤π i.e., if x∈[0,π]
cos−1(cosx)=x is satisfied by
x∈R
x∈[0,π]
x∈[−1,1]
none of these
x∈[0,π]
cos−1(cosx)=x if 0≤x≤π i.e., if x∈[0,π]