Relative to example 45x (i) cos-1 (sin x)

Example: e^(x)(sin x+cos x)dx

Differentiate the following w.r.t. x (i) cos ^(-1)(sin x) (if) tan ^(-1)(sin x/(1+cos x)) (iii) sin ^(-1)((2^(x+1))/(1+4^x))

Examples:sin ^(3)x cos xdx

Examples: (1)/(1+sin x+cos x)dx

Examples: sin^(3)x cos^(4)xdx

Differentiate the following with respect to x.(i) (sin x+cos x)/(sin x-cos x)

Examples: (3sin x+2cos x)/(3cos x+2sin x)dx

Solve sin x+cos x=1 +sin x cos x

The minimum value of sin x((1-cos x)/(sin x)+(sin x)/(1-cos x)) is