## anonymous one year ago Evaluate tan 30° without using a calculator by using ratios in a reference triangle. What is the first thing to do here?

1. jim_thompson5910

do you have a 30-60-90 triangle with you?

2. anonymous

I know the 30-60-90 triangle.

3. jim_thompson5910

ok draw one out and tell me what is opposite the 30 degree angle

4. anonymous

wait it's 1

5. jim_thompson5910

it should be 1, unless you are working with the unit circle

6. jim_thompson5910

what is the adjacent side near the 30 degree angle

7. anonymous

yeah it's 1 since 90=2 and 60=sqr3

8. jim_thompson5910

the adjacent side should be sqrt(3)

9. jim_thompson5910

10. anonymous

it's 1/sqrt(3). :)

11. jim_thompson5910

Correct $\Large \frac{1}{\sqrt{3}}$ or $\Large \frac{\sqrt{3}}{3}$

12. anonymous

:) Thanks!

13. jim_thompson5910

no problem