Comment on Activity 5

`tan^2 theta + 1` `= (sin^2 theta)/(cos^2 theta)+1`
  `=(sin^2 theta+cos^2 theta)/(cos^2 theta)`
  `=1/(cos^2 theta)`
  `=(1/(cos theta))^2`
  `=sec^2 theta`

Be sure you know a reason for each step in this calculation.