Prove the following identity: `cos e c\ theta(s e ctheta-1)-cottheta(1-cos theta)=tan theta-sintheta`

Prove the following identity: (cos ec theta-s int h eta)(sec theta-cos theta)(tan theta+cot theta)=1

Prove the following identities: (cos ec theta-sin theta)(sec theta-cos theta)(tan theta+cot theta)=1

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

Prove the following identity: (1+cot theta-cos ec theta)(1+tan theta+sec theta)=2

Prove the following identities: (cos ec theta-cot theta)^(2)=(1-cos theta)/(1+cos theta)

Prove the following identities: (cos theta)/(1-sin theta)+(cos theta)/(1+sin theta)=2sec theta

Prove the following identity: cos theta(tan theta+2)(2tan theta+1)=2sec theta+5sin theta

Prove the following identities: (1-cos theta)/(1+cos theta)=(cos ec theta-cot theta)^(2)

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

Prove the following identity: (cos theta)/(1-s int h eta)=(1+cos theta+s int h eta)/(1+cos theta-s int h eta)