Prove that : `(sin^(2)theta)/(cos theta)+cos theta=sec theta`

Prove that: (sin^2theta)/(costheta)+ cos theta = sec theta.

Proove: (sin^(2)theta)/(cos theta)+cos theta=sec theta

Prove that (sin theta + cos theta )( cosec theta - sec theta ) = cosec theta. Sec theta -2 tan theta

Prove that: (sin theta-cos ec theta)^(2)+(cos theta-sec theta)^(2)=cot^(2)theta+tan^(2)theta-1

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

Prove that: (sin2theta)/(costheta cos3theta)+(sin4theta)/(cos3theta.cos5theta)+(sin6theta)/(cos5theta.cos7theta)+… to terms = 1/(2sintheta) [sec(2n+1)theta-sectheta]

Prove that : (1+sin2 theta-cos 2theta)/(sin theta+cos theta)=2sin theta

Prove that (cos theta-sin theta)/(cos theta+sin theta)=sec2theta-tan2theta

Prove that :(cos theta-sin theta)/(cos theta+sin theta)=sec2 theta-tan2 theta

Prove that ((1+cos theta)/(cos theta))((1-cos theta)/(cos theta))cosec^(2)theta=sec^(2)theta