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

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

Simplify: (1+tan^(2)theta)(1-sintheta)(1+sintheta)

Simplify: (1+tan^(2)theta)(1-sintheta)(1+sintheta)

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

(1+tan^(2)theta)(1-sintheta)(1+sintheta)= ………… .

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