Prove the following trigonometric identities: `cos^2theta+1/(1+cot^2theta)=1` (ii) `1/(1+sintheta)+1/(1-sintheta)=2sec^2theta`

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

Prove the following trigonometric identities: cot^(2)theta-(1)/(sin^(2)theta)=-1 (ii) (1+tan^(2)theta)(1+sin theta)(1-sin theta)=1

Prove the following trigonometric identities: cot theta-tan theta=(2cos^(2)theta-1)/(sin theta cos theta)

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

Prove the following trigonometric identities: (1-sin^(2)theta)sec^(2)theta=1( ii) cos^(2)theta(1+tan^(2)theta)=1

Prove the following trigonometric identities: tan theta-cot theta=(2sin^(2)theta-1)/(sin theta cos theta)

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

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

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

Prove that : (1-costheta)/(sintheta)+(sintheta)/(1-costheta)=2"cosec "theta