y+sin y=cos x

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)

y-cos y=x:(y sin y+cos y+x)y'=y .

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y-cos y=x:(y sin y+cos y+x)y?=y

Verify that the given function (explicit or implicit) is a solution of the corresponding differential equation y-cos y=x: (y sin y+cos y+x) y^'=y

The area of the region bounded by y=sin x,y=cos x in the first quadrant is

Find the acute angle between the curve y=sin x&y=cos x

cos y (dy) / (dx) + sin y cos x = sin x cos x

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