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

The value 2tan^(-1)[sqrt((a-b)/(a+b))(tan theta)/(2)] is equal to cos^(-1)((a cos theta+b)/(a+b cos theta))(b)cos^(-1)((a+b cos theta)/(a cos theta+b))cos^(-1)((a cos theta)/(a+b cos theta)) (d) cos^(-1)((b cos theta)/(a cos theta+b))

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

If a,b,c>0 and s=(a+b+c)/(2), prove thattan^(-1)sqrt((2as)/(bc))+tan^(-1)sqrt((2bs)/(ca))+tan^(-1)sqrt((2cs)/(ab))=pi

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

Let a, b and c be positive real numbers. Then prove that tan^(-1) sqrt((a(a + b + c))/(bc)) + tan^(-1) sqrt((b (a + b + c))/(ca)) + tan^(-1) sqrt((c(a + b+ c))/(ab)) = pi

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