Questions
a
Domain of f(x) is [−1,1]
b
Range of f(x) is −2π3,π3
c
f(x) is one-one
d
None of these
detailed solution
Correct option is D
Given 2f(sinx)+f(cosx)=x-----(1) Replace x by π2−x, we have 2f(cosx)+f(sinx)=π2−x ------(2) Eliminating f(cosx) from (1) and (2), we have f(sinx)=x−π6⇒ f(x)=sin−1x−π6 Then, domain of f(x) is [−1,1] . Range is −π2−π6,π2−π6 or −2π3,π3 Also, f(x) is one-one.Talk to our academic expert!
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