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

Solve: (1-tantheta)(1+sin2theta)=(1+tantheta)

costheta(tantheta+2)(2tantheta+1)=?

Prove that-: cos^4theta/(1-sin^4theta)=(1-sin^2theta)/(1+sin^2theta)

Prove that: a) (sin2theta)/(1+cos2theta) = tantheta b) (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=cottheta

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

If theta epsilon (0, pi/2) then the value of |((sintheta+cosectheta)^2, (sintheta- cosectheta)^2,1 ),((costheta+sectheta)^2, (costheta-sectheta)^2, 1),((tantheta+cottheta)^2, (tantheta-cottheta)^2, 1)|= (A) sintheta+costhetas+tantheta (B) 1 (C) 0 (D) 4

Prove that (tantheta+Sectheta+1)/(-tantheta+Sectheta+1)=(Costheta)/(1-Sintheta)

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

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