`((cosectheta-1)(cosectheta+1))/((sectheta-1)(sectheta+1))`

Prove that : sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(sectheta-1))=2cosectheta

Prove that sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(sectheta-1))=2cosectheta

Prove that: sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(sectheta-1))=2\ cos e c\ theta

Prove that sqrt((cosectheta-1)/(cosectheta+1))+sqrt((cosectheta+1)/(cosectheta-1))=2sectheta

Prove that ((1+cottheta+tantheta)(sintheta-costheta))=(frac(sectheta)(cosec^2theta))-(frac(cosectheta)(sec^2theta))

Prove the following (cosectheta)/(cosectheta-1)+(cosectheta)/(cosectheta+1) =2sec^2theta

(cottheta-cosectheta+1)/(cottheta+cosectheta-1) = ?

If cottheta=3/4 prove that sqrt((sectheta-cosectheta)/(sectheta+cosectheta))=1/sqrt7 .

Prove the following: (frac(cosectheta+cottheta+1)(cottheta+cosectheta-1))=(frac(cottheta)(cosectheta-1))

((1+tantheta+sectheta)(1+cottheta-cosectheta))/((sectheta+tantheta)(1-sintheta)) is equal to: