If the expression `(sin(x/2)+cos(x/2)-i tan(x/2))/(1+2isin(x/2))` is real, the find the set of al possible values of x

If the expression ([s in(x/2)+cos(x/2)-i t a n(x)])/([1+2is in(x/2)]) is real, then the set of all possible values of x is.........

If the expression ([sin((x)/(2))+cos((x)/(2))-i tan(x)])/([1+2i sin((x)/(2))]) is real,then the set of all possible values of x is.......

Simplify tan^(-1)((cos(x/2)+sin(x/2))/(cos(x/2)-sin(x/2)))

Find the general value of x if the expression (sin ""(x)/(2) + cos"" (x)/(2) + itan x)/( 1 + 2isin "" (x)/(2)) is real .

find the value of expression (sin2x)/(1+cos2x) is:

If a.3^(tan x)+a*3^(-tan x)-2=0 has real solutions,x!=(pi)/(2),0<=x<=pi, then find the set of all possible values of parameter 'a'.

If (sin^(2)x-2cos^(2)x+1)/(sin^(2)x+2cos^(2)x-1)=4 , then the value of 2 tan^(2)x is