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

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

costheta -sintheta -cottheta +1=0

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

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

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 (1+sintheta)/costheta+costheta/(1+sintheta)=2sectheta

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

Prove that (sintheta+cosectheta)^2+(costheta+sectheta)^2ge9 .

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