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

cottheta + cot(pi/4 + theta)=2

Prove that cottheta-tantheta=2cot2theta .

Prove: (sintheta)/(1-costheta)=cos e c\ theta+cottheta

Prove that sqrt(cot^(2)theta-cos^(2)theta)=cottheta.costheta

Prove that : (1+cottheta+"cosec"theta)(1+cottheta-"cosec"theta)=2cottheta

Prove that : (1+cottheta+"cosec"theta)(1+cottheta-"cosec"theta)=2cottheta

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

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

Prove that: ((1+tan^2theta)cottheta)/(c o s e c^2theta)=tantheta

The value of sqrt((1+costheta)/(1-costheta)) is (a) cottheta-cos e c\ theta (b) cos e c\ theta+cottheta (c) cos e c^2theta+cot^2theta (d) (cottheta+cos e c\ theta)^2