[3x-cot3x cot x=1],[24.quad cos4x=1-8sin^(2)x cos^(2)x^(n)sin x=0]

8sin^(2)x+3cos^(2)x=5rArr cot x=

(cos2x-1)cot^(2)x=-3sin x

(sin 2x)/(1- cos 2x ) = cot x

Solve : (i) cos 3theta + 8 cos^(3) theta = 0 (ii) "tan" (pi cot x) = cot (pi tan x) (iii) 4 cos^(2) x sin x-2 "sin"^(2) x = 3 sin x

Simplify sin cot^(-1)tan cos^(-1)x,x>0

The integral int(sin^(2)x cos^(2)x)/((sin^(5)x+cos^(3)x sin^(2)x+sin^(3)x cos^(2)x+cos^(5)x)^(2))dx is equal to (1) (1)/(3(1+tan^(3)x))+C(2)(-1)/(3(1+tan^(3)x))+C(3)(1)/(1+cot^(3)x)+C(4)(-1)/(1+cot^(3)x)+C

Some examples Type: 1 (1) (sin5A-sin3A)/(cos5A+cos3A)=tan A(2)(sin3x+sin x)sin x+(cos3x-cos x)cos x=0 (3) Prove that cot4x(sin5x+sin3x)=cot x(sin5x-sin3x)

The solution set of the equation ("sin" 13^(@))^("cot" 3x+ "cot"x) = "sin"^(2) (4pi-x)-"cos" (3pi-x) "cos" (2 pi +x) is given by

The solution set of the equation ("sin" 13^(@))^("cot" 3x+ "cot"x) = "sin"^(2) (4pi-x)-"cos" (3pi-x) "cos" (2 pi +x) is given by

If f_(n)(x) = (sin x)/(cos3x)+(sin 3x)/(cos 3^(2)x) +(sin 3^(2)x)/(cos 3^(3)x) +....+ (sin 3^(n-1)x)/(cos 3^(n)x)"Then" f_(2) ((pi)/(4)) + f_(3) ((pi)/(4))=