`sin^2theta/(1+costheta)+sin^2theta/(1-costheta)=2`

Prove: (1+sectheta)/(sectheta)=(sin^2theta)/(1-costheta)

Prove that : (1-costheta)/(sintheta)+(sintheta)/(1-costheta)=2"cosec "theta

Prove that : (sintheta-costheta)/(sintheta+costheta)+(sintheta+costheta)/(sintheta-costheta)=(2)/(2sin^(2)theta-1)

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

If 5 tan theta = 4 , find the value of : (8 sin theta-3costheta)/(8 sin theta+2costheta)

The value of f(pi/6) where f(theta)=|{:(cos^2theta,costhetasintheta,-sintheta),(costhetasintheta,sin^2theta,costheta),(sintheta,-costheta,0):}|

Solve sin2theta+costheta=0

The number of values of x lying in [-pi, pi] and satisfying 2sin^2theta = cos2theta and sin2theta+ 2cos2theta-costheta-1 = 0 is

(sintheta)/(1+costheta) + (1+costheta)/(sintheta) = 2 cosec theta

Prove that : (sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2"cosec"theta