Question

How do you convert the polar equation `r=5sectheta` into rectangular form?

Answer 1

Please see the explanation.

Explanation:

Multiply both sides by `cos(theta)`:

`rcos(theta) = 5sec(theta)cos(theta)`

Use the identity `sec(theta)cos(theta) = 1`:

`rcos(theta) = 5`

Substitute x for `rcos(theta)`:

`x = 5`