Solve `tan theta+tan 2 theta+tan 3theta=tan theta.tan 2theta.tan 3 theta`.

Solve tan 3theta=-1 .

Solve : tantheta+tan2theta+sqrt3tanthetatan2theta=sqrt3

Find tan theta .

Solve sin 2theta+sin 4 theta+sin 6 theta=0 .

Solve tan theta+tan(theta+pi/3)+tan (theta+2pi/3)=3

Simplify: tan theta[(sec theta, tan theta),(tan theta, -sec theta)] + sec theta[(- tan theta, -sec theta),(-sec theta, tan theta)] .

Prove that tan^4theta+tan^2theta=sec^4theta-tan^2theta-1

Show that sectheta+tantheta=tan(pi/4+theta/2)

Show that tan (pi/4+theta/2)=sec theta +tan theta .

If tan 2 theta = cot (theta - 18°), then the value of theta.