anonymous
  • anonymous
Evaluate tan 30° without using a calculator by using ratios in a reference triangle. What is the first thing to do here?
Mathematics
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anonymous
  • anonymous
Evaluate tan 30° without using a calculator by using ratios in a reference triangle. What is the first thing to do here?
Mathematics
schrodinger
  • schrodinger
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jim_thompson5910
  • jim_thompson5910
do you have a 30-60-90 triangle with you?
anonymous
  • anonymous
I know the 30-60-90 triangle.
jim_thompson5910
  • jim_thompson5910
ok draw one out and tell me what is opposite the 30 degree angle

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anonymous
  • anonymous
wait it's 1
jim_thompson5910
  • jim_thompson5910
it should be 1, unless you are working with the unit circle
jim_thompson5910
  • jim_thompson5910
what is the adjacent side near the 30 degree angle
anonymous
  • anonymous
yeah it's 1 since 90=2 and 60=sqr3
jim_thompson5910
  • jim_thompson5910
the adjacent side should be sqrt(3)
jim_thompson5910
  • jim_thompson5910
now divide opposite over adjacent
anonymous
  • anonymous
it's 1/sqrt(3). :)
jim_thompson5910
  • jim_thompson5910
Correct \[\Large \frac{1}{\sqrt{3}}\] or \[\Large \frac{\sqrt{3}}{3}\]
anonymous
  • anonymous
:) Thanks!
jim_thompson5910
  • jim_thompson5910
no problem

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