" (iii) "(x^(5)-cos x)/(sin x)

Find the derivative of (i)(x^(5)-cos x)/(sin x) (ii) (x+cos x)/(tan x)

(b) Find the derivative of (x^(5) - cos x)/(sin x) with respect to x.

Differentiate (x^(5)-cos x)/(sin x) w.r.t. x .

Prove the following: (i) ("sin" x+"sin" y)/(cos x+cos y)="tan""(x+y)/(2) (ii) (cos 7x+cos 5x)/("sin" 7x-"sin" 5x)=cot x .

Evaluate: int(4sin x+5cos x)/(5sin x+4cos x)dx

The number of solutions of the equation sin^(5)x-cos^(5)x=(1)/(cos x)-(1)/(sin x)(sin x!=cos x)

Prove that (cos(9x)-cos(5x))/(sin(17x)-sin(3x))=-(sin(2x))/(cos(10x))

Prove that (cos 9 x-cos 5 x)/(sin 17 x-sin 3 x)=-(sin 2 x)/(cos 10 x)

Determine the max.value of (5sin x-12cos x)(5cos x+12sin x)