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

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 sin x+cos x=(sqrt(7))/(2) where x in[0,(pi)/(4)] then tan((x)/(2)) is equal to

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

If (sinx)/(cosx)xx(secx)/(cosecx)xx(tanx)/(cotx)=9 , where x in(0,(pi)/(2)) , then the value of x is equal to

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 (a) sqrt(13) (b) sqrt(14) (c) sqrt(17) (d) sqrt(15)

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 (a) sqrt(13) (b) sqrt(14) (c) sqrt(17) (d) sqrt(15)

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 (a) sqrt(13) (b) sqrt(14) (c) sqrt(17) (d) sqrt(15)

If 3sinx+4cosx=5 , then the value of 90tan^2(x/2)-60tan(x/2)+10 is equal to

If 3sinx+4cosx=5 , then the value of 90tan^2(x/2)-60tan(x/2)+10 is equal to

If 3sinx+4cosx=5 , then the value of 90tan^2(x/2)-60tan(x/2)+110 is equal to