If `(sinx)/(siny)=1/2,(cosx)/(cosy)=3/2,` where `x,y in (0,pi/2),` then the value of `tan(x+y)` is equal to

If sinx +cosx=(sqrt7)/(2) , where x in [0, (pi)/(4)], then the value of tan.(x)/(2) is equal to

If sinx +cosx=(sqrt7)/(2) , where x in [0, (pi)/(4)], then the value of tan.(x)/(2) is equal to

cosx=(2cosy-1)/(2-cosy) , where x , y in (0,pi) then tan""x/2 cot""(y)/2 is equal to

(sinx-siny)/(cosx+cosy)=tan(x-y)/(2)

If cosx=(2cosy-1)/(2-cosy) , where x,y in(0,pi) , then "tan"(x)/(2)"cot"(y)/(2) is equal to

If sinx/siny=1/2 and cosx/cosy=3/2 then sqrt(8+sec^2y)=

prove (sinx-siny)/(cosx+cosy)=tan(x-y)/2

If sinx+cosy=(1)/(3) and cos x+siny=(3)/(4) , then the value of tan((x-y)/(2)) is equal to

If cosx=(2cosy-1)/(2-cosy), where x , y in (0,pi) then tan(x/2)xxcot(y/2) is equal to (a) sqrt(2) (b) sqrt(3) (c) 1/(sqrt(2)) (d) 1/(sqrt(3))