" प्रश्न 32."(1)/(1+cot x)

int(1-cot x)/(1+cot x)dx

Show that cot (x-y)=(cot x cot y+1)/(cot y-cot x)

If cot^(-1) ( alpha) = cot^(-1)(2) + cot^(-1)(8) + cot^(-1)(18) + cot ^(-1)(32) + "…………" upto 100 terms , then alpha is :

Solve: "cot"^(-1) 1/(x-1) + "cot"^(-1) 1/x +"cot"^(-1) 1/(x+1) = "cot"^-1 1/(3x)

cot^(-1)""(xy+1)/(x-y)+cot^(-1)""(yz+1)/(y-z) +cot ^(-1) "" (zx +1)/(z-x)=0

int(1+cot^(2)x)/(1+cot x)backslash dx

int(1+cot^(2)x)/(1+cot x)backslash dx

int(dx)/(1+cot x)1+cot x

(tan x)/(1-cot x)-(cot x)/(1-tan x)=(sec x cos(x+1))

Prove that (cos x)/(1+sin x)=(cot ((x)/(2))-1)/(cot((x)/(2))+1)