sin^(2)theta+(1)/(1+tan^(2)theta)=?

Prove that : (1 - tan^(2) theta)/(1 + tan^(2) theta) = cos^(2) theta - sin^(2) theta

Prove that (1 - tan^(2) theta)/(1 + tan^(2) theta) = cos^(2) - sin^(2) theta

What is the value of sin^2theta+1/(1+tan^2theta) ?

Prove the following identities: (1+tan^(2)theta)+(1+1/(tan^(2)theta))=1/(sin^(2)theta-sin^(4)theta)

If 3cot theta=4 then show that (1-tan^(2)theta)/(1+tan^(2)theta)=(cos^(2)theta-sin^(2)theta)

Prove: (tan theta+(1)/(cos theta))^(2)+(tan theta-(1)/(cos theta))^(2)=2((1+sin^(2)theta)/(1-sin^(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

(1+2sin theta+sin^(2)theta)/(cos^(2)theta)=(sec theta+tan theta)/(sec theta-tan theta)

(1+(1)/(tan^(2)theta))(1+(1)/(cot^(2)theta))=(1)/(sin^(2)theta-sin^(4)theta)

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