Simplify `(1-tan^2(theta/2))/(1+tan^2(theta/2))`

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

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

Solve : (1- tan^2 theta)/(tan^2 theta)

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

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

Prove each of the following identities : (tan^(2) theta)/((1+ tan^(2) theta)) + (cot^(2) theta)/((1+ cot^(2) theta)) =1

Prove that: tan4 theta=(4tan theta(1-tan^(2)theta))/(1-tan^(2)theta+tan^(4)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

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