Question

How do you simplify the expression `tan^2theta/(sectheta+1)+1`?

Answer 1

`sec theta`

Explanation:

Use `tan^2 theta = sec^2 theta -1` to get
`tan^2theta/(sectheta+1)+1 ={sec^2theta-1}/(sec theta+1)+1 = (sectheta -1)+1 = sectheta`