Prove that `(sintheta-costheta+1)/(sintheta+costheta-1)=(1)/(sec theta-tan theta).` using the identity `sec^(2)theta=1+tan^(2)theta`.

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 ]

Prove that: (1+sintheta-costheta)/(1+sintheta+costheta)=tantheta/2

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

Prove that (cos theta-sintheta)/(cos theta+sintheta)=sec 2 theta-tan 2theta .

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

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

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

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

Prove the following: (sin theta - cos theta + 1 )/(sin theta + cos theta - 1) = 1/(sec theta - tan theta)