If `u = cot^(-1) sqrt(cos 2theta) - tan^(-1) sqrt(cos 2theta)` prove that `sin u = tan^(2) theta`. .

If u=cot^(-1)sqrt(cos theta) -tan^(-1)sqrt(cos theta) then sin u=

Let u = cot^(-1) sqrt(cos 2 theta) - tan^(-1) sqrt( cos 2 theta) , then the value of sin u is

If u=cot^(-1)[sqrt(cos2 theta)]-tan^(-1)[sqrt(cos2 theta)] then show that,cos ecu=cot^(2)theta

If tan theta = (1)/( sqrt(3)) , prove that 7 sin^(2) theta + 3 cos ^(2) theta = 4

tan(2tan^(-1)sqrt((1+cos theta)/(1-cos theta)))+tan theta=0

sqrt((1-cos^(2)theta)sec^(2)theta)=tan theta

If sin theta+cos theta=sqrt(3), then prove that tan theta+cot theta=1

Prove that : (1 - tan^(2) theta)/(1 + tan^(2) theta) = cos^(2) theta - sin^(2) theta

Prove that (1 - tan^(2) theta)/(1 + tan^(2) theta) = cos^(2) - sin^(2) theta

Prove each of the following identities : (i) sqrt((1+ sin theta)/(1- sin theta)) = ( sec theta + tan theta) (ii) sqrt((1- cos theta)/(1+ cos theta))= ("cosec" theta - cot theta) (iii) sqrt((1+ cos theta)/(1- cos theta))+ sqrt((1- cos theta)/(1+ cos theta)) = 2 "cosec" theta