Prove that `(1-costheta+sintheta)/(costheta+sintheta-1)=(1+sintheta)/(costheta)`

prove that- (sintheta+1-costheta)/(costheta-1+sintheta)=(1+sintheta)/costheta

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

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

Prove that : (1+sintheta)/(costheta)+(costheta)/(1+sintheta)=2sectheta

costheta[(costheta, sintheta),(-sintheta,costheta)]+sintheta[(sintheta,-costheta),(costheta,sintheta)] is equal to (A) [(0,0),(1,1)] (B) [(1,1),(0,0)] (C) [(0,1),(1,0)] (D) [(1,0),(0,1)]

Prove that sintheta/(1-costheta)=cosectheta+cot theta

Evaluate : 1/costheta + sintheta/costheta = ?

Prove that- costheta.tantheta=sintheta

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

Evaluate costheta.costheta+sintheta.sintheta