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Prove the following identities: (costhe...

Prove the following identities: `(costheta)/(1-sintheta)+(costheta)/(1+sintheta)=2sectheta`

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

Prove the following identities: (1-sintheta)/(1+sintheta)= (sectheta-tantheta)^2

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Prove the following identity: (costheta)/(1-sintheta)=(1+costheta+sintheta)/(1+costheta-sintheta)

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Prove the following identities: (sin^3theta+cos^3theta)/(sintheta+costheta)+sinthetacostheta=1

Prove: (costheta)/(1-sintheta)=(1+sintheta)/(costheta)

Prove the following identities: (cos e ctheta-sintheta)(sectheta-costheta)(tantheta+cottheta)=1

Prove the following identities: (cos e ctheta-sintheta)(sectheta-costheta)=1/(tantheta+cottheta)