Question

Evaluate tan 30° without using a calculator by using ratios in a reference triangle.

What is the first thing to do here?

Answer 1

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

Answer 2

I know the 30-60-90 triangle.

Answer 3

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

Answer 4

wait it's 1

Answer 5

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

Answer 6

what is the adjacent side near the 30 degree angle

Answer 7

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

Answer 8

the adjacent side should be sqrt(3)

Answer 9

now divide opposite over adjacent

Answer 10

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

Answer 11

Correct \[\Large \frac{1}{\sqrt{3}}\] or \[\Large \frac{\sqrt{3}}{3}\]

Answer 12

:) Thanks!

Answer 13

no problem