prove that sec theta

Prove than: sec theta + tan theta = (cos theta )/(1 - sin theta)

Prove that (sec 8theta-1)/(sec 4 theta -1) = (tan 8theta)/(tan 2theta)

If a,b,c inR then prove that sec^2theta=(bc+ca+ab)/(a^2+b^2+c^2) only if a = b = c.

prove that sintheta.sec3theta+sin3theta.sec3^2theta+sin3^2theta.sec3^3theta+ u p ton terms =1/2[tan3^ntheta-tantheta]

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

prove that sinthetadotsec3theta+sin3theta,sec3^2theta+sin3^2thetadotsec3^3theta+ u p ton terms =1/2[tan3^ntheta-tantheta]

Prove that cot theta-tan theta=2cot 2 theta .

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

Prove that (cos theta-sintheta)/(cos theta+sintheta)=sec 2 theta-tan 2theta .