Question
Question: Period of f(x) = sin<sup>-1</sup>(sin x) + e<sup>tanx</sup> is...
Period of f(x) = sin-1(sin x) + etanx is
A
2π
B
π
C
π/2
D
None of these
Answer
π/2
Explanation
Solution
Period of sin-1(sin x) is 2π. Period of etanx is π. Thus period of f(x) = L.C.M. (2π, π) = 2π