Prove that
`(cottheta+c o s e ctheta-1)/(cottheta-c o s e ctheta+1)=(1+costheta)/(sintheta)`

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

Prove the following identities : (cottheta+cosectheta-1)/(cottheta-cosectheta+1)=(1+costheta)/(sintheta)

Prove the following (cosectheta+cottheta-1) /(cottheta-cosectheta+1) =(1+costheta) /sintheta

Prove that (costheta-sintheta+1)/(costheta+sintheta-1)=c o s e ctheta+cottheta

Prove the following identity: (t a ntheta+s e ctheta-1)/(t a ntheta-s e ctheta+1)=(1+sintheta)/(costheta)

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

Prove that: {1+cottheta-s e c(pi/2+theta)}{1+cottheta+s e c(pi/2+theta)}=2cottheta

Prove that (cosectheta+cottheta)/(cosectheta-cottheta) =((1+costheta)/sintheta)^2 .

Prove that sintheta/(1-costheta)=cosectheta+cottheta .

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