" 4.(i) "sin3x

" 4.(i) "int(sin x)/(1-sin^(2)x)dx

Evaluate: (i) int sin3x cos4xdx (ii) int cos2x cos4xdx

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.

If 2 sin x = sqrt(3) , evaluate (i) 4 sin^(3)x - 3 sin x (ii) 3 cos x - 4 cos^(3)x

Evaluate: (i) sin^(4)x cos^(3)xdx (ii) int sin^(5)xdx

Evaluate: (i) int sin4x cos3xdx (ii) int sin3x sin2xdx

Prove that sin3x + sin ^ (3) (2 (pi) / (3) + x) + sin ^ (3) (4 (pi) / (3) + x) = - (3) / (4) sin3x

Prove that (sin 5x+sin3x)/(cos 5x+cos3x)=tan4x

Prove that (sin 5x+sin3x)/(cos 5x+cos3x)=tan4x