If `(3pi)/4 lt alphaltpi`, then simplify the expression `sqrt(2cotalpha+1/(sin^2alpha))`

Simplify the expression sqrt((1-cos alpha cos beta)^(2)-sin^(2)alpha sin^(2)beta)

Givent that pi/2 lt alphaltpi then the expression sqrt((1-sinalpha)/(1+sinalpha))+sqrt((1+sinalpha)/(1-sinalpha)) (A) 1/(cosalpha) (B) - 2/(cosalpha) (C) 2/(cosalpha) (D) does not exist

If (3pi)/4 lt alpha lt pi , then sqrt(2cotalpha+1/(sin^2alpha)) is equal to (a) 1-cotalpha (b) 1+cotalpha (c) -1+cotalpha (d) -1-cotalpha

If pi lt alpha lt (3pi)/2 then find the value of expression sqrt(4 sin^4 alpha+ sin^2 2alpha)+ 4 cos^2(pi/4- alpha/2)

If pi lt alpha lt (3pi)/2 then find the value of expression sqrt(4 sin^4 alpha+ sin^2 2alpha)+ 4 cos^2(pi/4- alpha/2)

If (3pi)/(4)lt alphaltpi , then sqrt(2cotalpha+(1)/(sin^(2)alpha)) is equal to

If 3π/4<α<π, then sqrt(2cotalpha+1/(sin^2alpha)) is equal to

Givent that (pi)/(2)