`cosec \ theta(sectheta-1)-cottheta(1-costheta)=tantheta-sin theta`

1+cottheta="cosec"theta

Prove that ("cosec "theta-sintheta)(sectheta-costheta)(tantheta+cottheta)=1

Prove the following identities: (cosec theta-sintheta)^2+(sectheta-costheta)^2-(tantheta-cottheta)^2=1

(i) ("sin"theta "tan"theta)/(1-costheta)=1sectheta (1+costheta)/(1-costheta)=("tan"^2theta)/((sectheta-1))^2

(cos e c\ theta-sintheta)(sectheta-costheta)(tantheta+cottheta) is equal (a) 0 (b) 1 (c) -1 (d) None of these

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

(csctheta-sintheta")(sectheta-costheta)(tantheta+cottheta)=

Prove that sqrt((cosec theta+cottheta)/(cosec theta-cottheta))=(sin theta)/(1-costheta)