# Solve Trigonometry Equation

1. Feb 28, 2012

### hailey51

sqrt(3) sec x = -2

2. Feb 28, 2012

### Dick

You need to at least show an attempt here before anyone can help you. Look at a graph of sec(x).

3. Feb 28, 2012

### hailey51

well, would the first step be changing it to
cos x = - (sqrt 3)/2

?

4. Feb 29, 2012

### SammyS

Staff Emeritus
Yes.

For what angles is cosine = -(√3)/2 ?

5. Feb 29, 2012

### hailey51

This is where I get confused...
it's not ∏/6 right? because it's negative
so it could be the 5∏/6 ?
and is that the only answer?

6. Feb 29, 2012

### HallsofIvy

Since sine and cosine are periodic with period $2\pi$, no that is not the only solution.

7. Feb 29, 2012

### hailey51

Oh, would the other solution be 7π/6 +2πn ?

8. Feb 29, 2012

Right.