4sin x cos x+2sin x+2cos x+1=0

Solve the following trigonometric equation : 4sin x cos x+2 sinx+ 2cos x+1=0 .

Solve the equation 4 sin x cos x + 2 sin x + 2 cos x + 1 = 0

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

2tan2x = (cos x + sin x) / (cos x-sin x) - (cos x-sin x) / (cos x + sin x)

Prove that: (i) sin 3x+"sin" 2x-"sin" x = 4 sin x cos((x)/(2))cos((3x)/(2)) (ii) ("sin" 3x+"sin" x)"sin" x+(cos 3x-cos x)cos x=0.

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

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

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

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