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

tan2 theta xx tan theta=1

Prove that (1+ tan^4 theta)/(1+ tan^2 theta) = sec ^2 theta-2 sin^2theta

tan2 theta tan theta=1

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

Show that : (1+ tan theta/2)/(1-tan theta/2) = (1+sin theta)/(cos theta) = tan (pi/4 + theta/2)

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

Find the values of theta in the interval (-(pi)/(2),(pi)/(2)) satisfying the equation (1-tan theta)(1+tan theta)sec^(2)theta+2^(tan^(2)theta)=0

If (1-tan theta)(1+tan theta)sec^(2)theta+2^(tan^(2)theta)=0 then in the interval (-(pi)/(2),(pi)/(2)), the value of theta is

Prove each of the following identities : (i) (1- tan^(2) theta)/(1+ tan^(2) theta) = ( cos^(2) theta - sin^(2) theta) (ii) (1- tan^(2) theta)/(cot^(2) -1) = tan^(2) theta