Question

How does one verifty `sectheta=secthetasin^2theta+costheta`?

`sectheta=secthetasin^2theta+costheta`

Answer 1

`LHS=sectheta`

`=sectheta*1`

`=sectheta*(sin^2theta+cos^2theta)`

`=sectheta*sin^2theta+sectheta*cos^2theta`

`=sectheta*sin^2theta+1/costheta*cos^2theta`

`=sectheta*sin^2theta+costheta=RHS`