`(1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=?`

(sintheta+sin2theta)/(1+costheta+cos2theta)

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

Prove that (1-costheta +cos2theta )/(sin2theta -sintheta)=cottheta

Prove that (sintheta +sin2theta)/(1+costheta +cos2theta)=tantheta

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

Evaluate the following (sin theta +cos theta )^(2) +(sin theta -cos theta )^(2)

Prove: sin^(8)theta-cos^(8)theta=(sin^(2)theta-cos^(2)theta)(1-2sin^(2)thetacos^(2)theta)

Prove : (cos^2theta)/(1-tan theta) + (sin^3theta)/(sintheta - cos theta) = 1 + sin theta cos theta

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