सिद्ध कीजिएः `2"tan"^(-1)sqrt(b/a)="cos"^(-1)(a-b)/(a+b)`

सिद्ध कीजिए कि 2tan^(-1)sqrt((b)/(a))=cos^(-1)((a-b)/(a+b))

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

Prove that : 2tan^(-1)(sqrt((a-b)/(a+b))tan""x/2)=cos^(-1)((acosx+b)/(a+bcosx)) .

2Tan^(-1)((sqrt(a-b))/(a+b)"tan"x/2)=

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

If a=sin^(-1)(-(sqrt(2))/(2))+cos^(-1)(-(1)/(2)) and b=tan^(-1)(-sqrt(3))-cot^(-1)(-(1)/(sqrt(3))) ,then find a-b " and " a+b

2 tan ^(-1) (sqrt((a-b)/(a+b))tan""(x)/(2))=cos^(-1)""(acos x+b)/(a+b cos x)

Prove that tan((pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)) +tan((pi)/(4) -(1)/(2) "cos"^(-1)(a)/(b)) =(2b)/(a) .