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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?

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  1. jim_thompson5910
    • one year ago
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    do you have a 30-60-90 triangle with you?

  2. anonymous
    • one year ago
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    I know the 30-60-90 triangle.

  3. jim_thompson5910
    • one year ago
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    ok draw one out and tell me what is opposite the 30 degree angle

  4. anonymous
    • one year ago
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    wait it's 1

  5. jim_thompson5910
    • one year ago
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    it should be 1, unless you are working with the unit circle

  6. jim_thompson5910
    • one year ago
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    what is the adjacent side near the 30 degree angle

  7. anonymous
    • one year ago
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    yeah it's 1 since 90=2 and 60=sqr3

  8. jim_thompson5910
    • one year ago
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    the adjacent side should be sqrt(3)

  9. jim_thompson5910
    • one year ago
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    now divide opposite over adjacent

  10. anonymous
    • one year ago
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    it's 1/sqrt(3). :)

  11. jim_thompson5910
    • one year ago
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    Correct \[\Large \frac{1}{\sqrt{3}}\] or \[\Large \frac{\sqrt{3}}{3}\]

  12. anonymous
    • one year ago
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    :) Thanks!

  13. jim_thompson5910
    • one year ago
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    no problem

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spraguer (Moderator)
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