If x is a real number such that 0≤x≤2π and (sin(x2)+cos(x2))+itanx1+2isin(x2) is real, then the possible value(s) of x is (are)
If sin x=−12, 3π2<x<2π, find the values of sinx2, cosx2 and tan x2.
Or
If tan (π cos θ)=cot (π sin θ), prove that cos(θ−π4)=±12√2.