Question

How do you find the amplitude and period of `y=3sectheta`?

Answer 1

Amp: `3`.
Period: `pi`.

Explanation:

`y=color(green)(3)sec color(red)(1)theta`
`color(green)(Amp)`: There aren't amplitudes for secants or cosecants, but the closest thing is `3`. Amplitude only applies for sin and cos.

`color(red)(Period)`: To find the period for sec and csc, we divide the leading coefficient of `theta`, which in this case is `1`, by `pi`, which gives us `pi/1` or `pi`.