" 10.Ars affort : "2tan^(-1)sqrt((b)/(a))=cos^(-1)(a-b)/(a+b)

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

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

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((acostheta+b)/(a+bcostheta))

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

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

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