`costheta(tantheta+2)(2tantheta+1)=2sectheta+5sintheta`

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Prove the following identities: (sintheta+costheta)(tantheta+cottheta)=sectheta+cosectheta

tantheta-tantheta/2=sectheta/2

Prove that- (sectheta+tantheta)/(sec-tantheta)=((1+sintheta)/costheta)^2

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

Prove that: (sectheta-tantheta)/(sectheta+tantheta)=1-2sectheta.tantheta+2tan^(2)theta

What is ((sintheta+costheta)(tantheta+cottheta))/(sectheta+cosectheta) equal to ?

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

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

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

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