`tan theta+(1)/(tan theta)=2`
then prove that `tan^2 theta+(1)/(tan^2 theta)=2`

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

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

Prove that sec^(2)theta-1-tan^(2)theta=0

Solve: tan4 theta = tan2theta

Solve : tan 3theta tan 2 theta = 1

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

If the equation a cos 2 theta +b sin 2 theta = c had theta _(1), theta _(2) as its roots, prove that (i) tan theta_(1) + tan theta_(2) ""=( 2b)/(c +a) (ii) tan theta _(1) tan theta _(2) ="" ( c -a)/( c +a )

Prove that 1 + tan 2 theta tan theta = sec 2 theta .

Prove that : tan 4 theta = (4 tan theta - 4 tan^3 theta)/(1-6 tan^2 theta + tan^4 theta) .

Prove: tan^2thetacos^2theta=1-cos^2theta