Prove: `((1+cot^2theta)tantheta)/(sec^2theta)=cottheta`

Prove: ((1+cot^(2)theta)tan theta)/(sec^(2)theta)=cot theta

sec^2theta/tantheta=?

Prove that: ((1+tan^2theta)cottheta)/(c o s e c^2theta)=tantheta

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

Prove that tantheta(1+sec2theta)=tan2theta

Prove that;- ((tan^2theta)/(sec^2theta))+((cot^2theta)/(cosec^2theta))=1

Prove: (1+tan^2theta)/(1+cot^2theta)=((1-tantheta)/(1-cottheta))^2=tan^2theta

Prove that : sqrt((1-cos^(2)theta)sec^(2)theta)=tantheta

Prove that : sqrt((1-cos^(2)theta)sec^(2)theta)=tantheta

Prove the following ((1+cottheta+tantheta)(sintheta-costheta))/(sec^3theta-cosec^3theta)=sin^2thetacos^2theta