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

(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)=

(sin theta+cos theta)(1-sin theta cos theta)=sin^3 theta+cos^3 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))

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

cos theta+sin theta=cos2 theta+sin2 theta

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

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

If (sin theta+cos theta)/(sin theta-cos theta)=3 then sin^4 theta-cos^4 theta=

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