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

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

Prove that 1/(sectheta+tantheta)-1/costheta=1/costheta-1/(sectheta-tantheta)

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

Show that ((tan theta+sec theta-1)/(tan theta-sec theta +1))=(1+sin theta)/(cos theta) .

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

If tan^2 theta=1-e^2 then prove that sec theta+tan^3 theta cosec theta=(2-e^2)^(3/2)

If theta=30° , show that 3sin theta- 4sin^3 theta= sin theta cos2 theta + costheta sin 2theta .

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

Prove the following sqrt{(1-sintheta) /(1+sintheta)} =sectheta-tantheta=(1-sintheta)/costheta

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