If `cos x-sinx=-(5)/(4)`, where `(pi)/(2)ltx lt(3pi)/(4)`, then `cot.(x)/(2)` is equal to

(sinx-cosx)^((sinx-cosx)),(pi)/(4) ltx lt (3pi)/(4)

If cos x + sin x = a , (- (pi)/(2) lt x lt - (pi)/(4)) , then cos 2 x is equal to

If cos x + sin x = a (- (pi)/(2) lt x lt - (pi)/(4)) , then cos 2 x is equal to

If tan x= (3)/(4) " where " pi lt x lt (3pi)/( 2), value of tan ""(x)/(2) is

If tan x = (3)/(4), pi lt x lt (3pi)/(2) , then the value of cos""(x)/(2) is

cos^(-1)((sinx+cosx)/(sqrt(2))),-(pi)/(4) ltx lt(pi)/(4)

Ifsin 2x=(2024)/(2025) where 5(pi)/(4)

Lt_(x to (pi)/(2))(2x-pi)/(cos x) is equal to

Lt_(x to pi)(sinx)/(x-pi) is equal to

If sinx=(1)/(sqrt5).siny=(1)/(sqrt(10)) , where 0 lt x lt (pi)/(2),0 lt y lt (pi)/(2) , then what is (x+y) equal to?