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

(1+cot^(2)theta)(1-costheta)(1+costheta)= ……… .

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

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

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

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

Prove the trigonometric identities: sqrt((1-cos theta)/(1+cos theta))=csc theta-cot theta