Questions
The domain of the function in is
a
0,π2∪3π2,2π
b
π,2π
c
0,π-π2
d
0,2π-π2,3π2
detailed solution
Correct option is A
As, sin-1(sin x) could be sketched, asand cos-1(cos x) could be sketched as ∴sin-1(sin x)>cos-1(cos x) is not possible.Only equality holds as Thus, sin-1sin x=cos-1cos xWhen x∈0,π2∪3π2,2πSo, domain for f(x) is 0,π2∪3π2,2πHence, (a) is the correct answer.Talk to our academic expert!
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