(p63)/(2)2tan^(-1)(sqrt((a-6)/(a+b))tan(9)/(2))=cos^(-1)((9cos2+6)/(a+6cos a))

2tan^(-1)(sqrt((a-b)/(a+b))tan((theta)/(2)))=cos^(-1)((a cos theta+b)/(a+b cos theta))

prove that 2tan^(-1)(sqrt((a-b)/(a+b))tan((theta)/(2)))=cos^(-1)((a cos theta+b)/(a+b cos theta))

Prove that 2 tan^(-1) (sqrt((a-b)/(a+b)) "tan"(theta)/(2))=cos^(-1) ((a cos theta +b)/(a +b cos theta))

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

Prove that 2"tan"^(-1)(sqrt((a-b)/(a+b))"tan"theta/(2))="cos"^(-1)((a"cos"theta+b)/(a+b"cos"theta)) .

Prove that 2 tan ^(-1)[(sqrt((a-b)/(a+b))) tan ((theta)/2)]=cos ^(-1)((b+a cos theta)/(a+b cos theta))

show that, tan^(-1) ((1)/(sqrt(3)) tan ""(x)/(2))=(1)/(2) cos^(-1) ""((1+2 cos x)/(2+ cos x)).

What is the value of tan[(1)/(2)cos^(-1)((3)/(5))]+tan[(1)/(2)cos^(-1)((4)/(5))]? (a) (5)/(6) (b) (-5)/(6) (c) (1)/(2) (d) 0