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

Prove that (sectheta+tantheta)(1-sintheta)=costheta .

Prove that (sintheta-costheta+1)/(sintheta+costheta-1)=1/(sectheta-tantheta) , using the identity sec^2theta=1+tan^2theta

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

Prove that: (sintheta-costheta+1)/(sintheta+costheta-1)=1/(sectheta-tantheta)

sqrt(sec^2theta+cosec^2theta)=tantheta+cottheta=sectheta.cosectheta. .

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

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

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

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

Prove that (sintheta+cosectheta)^2+(costheta+sectheta)^2ge9 .