Solve `(cottheta+cosectheta-1)/(cottheta-cosectheta+1)`

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

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

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

What is the value of ((cottheta+cosec theta-1))/((cottheta-cosectheta+1)) ?

(cottheta+cosectheta)(cottheta-cosectheta) is ……………….

(cosectheta-cottheta)^2=

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

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

If sectheta=sqrt2 and (3pi)/2ltthetalt2pi . Then the value of (1+tantheta+cosectheta)/(1+cottheta-cosectheta) is

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