If the sum of all values of `x` satisfying the system of equations `tan x+tan y+tan x tan y=5` and `sin(x+y)=4cos x cos y` is `(k pi)/(3)` where `x in(0,(pi)/(2))` then value of `k` is

If the sum of all value of x satisfying the system of equations tan x + tan y+ tan x* tan y=5 sin (x +y)=4 cos x * cos y is (k pi )/2 , where x in (0, (pi)/(2)) then find the values of k .

Find the general values of x and y satisfying the equations 5sin x cos y=14tan x=tan y

If (sin x)/(sin y)=(1)/(2),(cos x)/(cos y)=(3)/(2), where x,y in(0,(pi)/(2)), then the value of tan(x+y) is equal to

The value of x satisfying the equation tan^(-1)(2x)+tan^(-1)3x=(pi)/(4) is

If sin x cos y=(1)/(4) and 3tan x=4tan y then sin(x-y)=

If sin x cos y=(1)/(4) and 3tan x=4tan y then sin(x-y)=

The sum of all the solutions in [0, 4pi] of the equation tan x+ cot x+1= cos (x+pi/4) is

If 0

Find theta, if sin x = 2sin theta, cos x = tan y, tan x = cos z and cos y = tan z