Let `x,y in[0,2 pi]` and satisfying the equation `sin^(3)x+cos^(3)y+6sin x cos y=8`. If `l=x+y & m=x-y` ,then `l` and `m = `

If sin^(4)x+cos^(4)y+2=4sin x*cos y and 0<=x,y<=(pi)/(2) then sin x+cos y is equal to

What is the equation of the curve passing through the point ( 0 , (pi)/(3) ) satisfying the differential equation sin x cos y dx + cos x sin y dy = 0 ?

Find all the pairs of x,y that satisfy the equation cos x+cos y+cos(x+y)=-(3)/(2)

If y=y(x) is the solution of the equation e^(sin y) cos y""(dy)/(dx) +e^(sin y) cos x = cos x,y (0)=0, then 1+y ((pi)/(6)) +( sqrt(3))/(2) y((pi)/(3)) +(1)/( sqrt(2)) y((pi)/(4)) is equal to

The values of x satisfying the system of equations 2^(sin x-cos y)=1,16^(sin^(2)x+cos^(2)y)=4 are given by :

What is the equation of the curve passing through the point (0,pi/3) satisfying the differential equation ltbr? Sin x cos y dx + cos x sin y dy =0 ?

Let y=f(x) satisfy the differential equation y'+((sin x-cos x)/(e^(-x)-cos x))y=(1)/(e^(-x)-cos x) ,then find the solution

The values of x satisfying the system of equation 2^("sin" x + "cos"y) = 1, 16^("sin"^(2)x + "cos"^(2)y) =4 are given by