" 2."y+sin y=cos x

Let sin x + sin y = cos x + cos y for all x, y in R . What is tan(x/2 + y/2) equal to?

Find the value of 'a' which the system of equation sin x * cos y=a^(2) and sin y* cos x =a have a solution

Find the value of 'a' which the system of equation sin x * cos y=a^(2) and sin y* cos x =a have a solution

Find the value of 'a' which the system of equation sin x * cos y=a^(2) and sin y* cos x =a have a solution

Find the value of 'a' which the system of equation sin x * cos y=a^(2) and sin y* cos x =a have a solution

Find the value of 'a' which the system of equation sin x * cos y=a^(2) and sin y* cos x =a have a solution

The value of (sin x cos y + cos x sin y)^2+(cos x cos y -sin x sin y)^2 is equal to

Prove that (i) 2 cos x cos y=cos (x+y)+cos (x-y) (ii) -2 . sin x sin y=cos (x+y)-cos (x-y) (iii) 2 sin x cos y=sin (x+y)+sin (x-y) (iv) 2 cos x sin y=sin (x+y)-sin (x-y)

Find the equations of tangents and normals to the curve at the point on it: x sin 2y = y cos 2x at ((pi)/4, (pi)/2)

(sin x - sin y)/( cos x + cos y) = tan ""(x-y)/(2)