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 1/(1+sintheta)+1/(1-sintheta) = 2 sec^2 theta

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

Show that: 1/(1+sintheta)+1/(1-sintheta)=2sec^2theta

Prove that 1/(1+sintheta)+1/(1-sintheta)=2sec^2theta .

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 : (1+cot^2theta)(1-costheta)(1+costheta)=1 (ii) tan^2theta-1/(cos^2theta)=-1

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