`1/2cos^(- 1)((5cosx+3)/(5+3cosx))=tan^(- 1)(1/2tanx/2)`

Prove that ""(1)/(2)cos^(-1)""((5cos x+3)/(5+3 cos x))= tan^(-1)""((1)/(2)tan""(x)/(2))

(1)/(2)cos ^(-1)""((5 cos x +3)/(5+3 cos x))= tan^(-1)""((1)/(2)tan ""(x)/(2))

cos^(-1)((3+5cosx)/(5+3cosx)) is equal to

Prove that : (1)/(2) cos^(-1) ((1+ 2 cos x)/( 2+cosx) ) = tan^(-1) ((1)/(sqrt(3)) "tan" (x)/(2))

Show that cos^(-1) ((cosx+cos y)/(1+cos x.cosy))= 2tan^(-1)(tan(x/2).tan(y/2)) .

cos^(-1)((3cosx-4sinx)/(5))

2Tan^(-1)(cosx)=

2tan^(-1)(cosx)=tan^(-1)(2cosecx)

int1/(7+5cosx)\ dx= 1/(sqrt(6))tan^(-1)(1/(sqrt(6))tanx/2)+C (b) 1/(sqrt(3))tan^(-1)(1/(sqrt(3))tanx/2)+C (c) 1/4tan^(-1)(tanx/2)+C (d) 1/7tan^(-1)(tanx/2)+C