`(1 + tantheta + sectheta)(1+ cottheta - cosectheta)`

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

If sectheta=sqrt2 and 3(pi/2) < theta < 2pi , then evaluate (frac(1+tantheta+cosectheta)(1+cottheta-cosectheta)) .

If sectheta = sqrt2 and (3pi)/(2) lt theta lt 2pi , find the value of (1+tantheta+cosectheta)/(1+sectheta-cosectheta)

. (tantheta +sectheta-1)/(tantheta -sectheta+1) =

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

(tantheta+sectheta-1)/(tantheta-sectheta+1)=

(tantheta+sectheta-1)/(tantheta-sectheta+1)=

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

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