(1+tan^(2)theta)(1-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 (1 + tan^2 theta)(1- sin ^2theta) = 1

(1+tan^(2)theta)sin^(2)theta = ……… .

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

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

If theta=30o, verify that: (i) tan2 theta=(2tan theta)/(1-tan^(2)theta)( ii) sin2 theta=(2tan theta)/(1+tan^(2)theta)

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

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

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

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