समीकरण `sin x + cos x=2`

Solve sin 3x + sin x + 2 cos x = sin 2x + 2 cos^(2)x

(sin x + cos x)^2 + (sin x - cos x)^2

(1 + sin 2x + cos 2x )/( cos x + sin x ) = 2 cos x

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

(cos 4x sin 3x -cos 2x sin x )/(sin 4x sin x+ cos 6x cos x)= tan 2x

Show that sin 3 x+sin 2 x-sin x=4 sin x cos (x/2) cos ((3 x)/2)

Prove that: sin 3x + sin 2x - sin x = 4 sin x cos x/2 cos (3x)/2

If sin x + cos x =sqrt2 cos x , show that : sqrt2 sin x =cos x- sin x .

If "sin" x + "sin"^(2) x = 1 show that: cos^(4)x + cos^(2)x = 1 (ii) If "sin" x + cos x =sqrt(2) cos x show that: sqrt2 sin x = cos x - sin x

If 3 cos x ne 2 sin x , then the general solution of sin^(2) x - cos 2x = 2 - sin 2x is x =