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

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

(sin theta-cos theta)^(2)*(sin theta+cos theta)^(2)=

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

cos theta+sin theta=cos2 theta+sin2 theta

Prove each of the following identities : (i) (sin theta - cos theta)/(sin theta + cos theta) + ( sin theta+ cos theta)/(sin theta - cos theta) = (2)/((2 sin^(2) theta -1)) (ii) (sin theta + cos theta ) /(sin theta - cos theta) + ( sin theta - cos theta) /(sin theta + cos theta) = (2) /((1- 2 cos^(2) theta))

Prove that : (1+sin2 theta-cos 2theta)/(sin theta+cos theta)=2sin theta

((sin theta+cos theta)^(2)-1)/(sin theta*cos theta)

(1+sin2 theta-cos2 theta)/(1+sin2 theta+cos2 theta)=tan theta

(sin3 theta+cos3 theta)/(cos theta-sin theta)=1+2xx sin2 theta

sin theta+sin2 theta+sin3 theta=1+cos theta+cos2 theta