Prove that `sintheta(1+tantheta)+costheta(1+cottheta)=sectheta+cosectheta`

Prove that : sintheta(1+tantheta)+costheta(1+cottheta)=cosectheta+sectheta

Prove that : sintheta(1+tantheta)+costheta(1+cottheta)=cosectheta+sectheta

sintheta/(1-cottheta)+costheta/(1-tantheta)=

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

tantheta /(1-cottheta ) + cottheta/(1-tan theta)= 1+sectheta*cosectheta

Prove that (sectheta +cosectheta)(sintheta+costheta)=2+secthetacosectheta

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

Prove that (sintheta)/(cottheta+cosectheta)=2+sintheta/(cottheta-cosectheta) .

Prove that sintheta/(1+costheta) + (1+costheta)/sintheta = 2cosectheta

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