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Bbambino1976 Group Title

express sin 205degrees in terms of the sine of a positive acute angle. Do not evaluate.

  • one year ago
  • one year ago

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  1. Bbambino1976 Group Title
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    an airplane propeler blade is 2.80ft, and rotates @ 2200 r/min. What is the linear velocity of a point on the tip of the blade?

    • one year ago
  2. Jbo11 Group Title
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    have you learned about special trig rules with trig functions?

    • one year ago
  3. Bbambino1976 Group Title
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    please explain?????????????????????????

    • one year ago
  4. Bbambino1976 Group Title
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    would i have learned about this in geomiyt/?

    • one year ago
  5. Jbo11 Group Title
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    ok I'm sure now, for sin(205) to have it be an acute angle it has to be less than 90, and sin(25) works and is positive

    • one year ago
  6. Jbo11 Group Title
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    Then your propeller one is difficult to explain, I found the same problem that is explained here on page 16 http://www.nunamaker.com/mathlady/Math%20181%20Chapter%2010%20Trig%20Functions%20Term%200306.pdf

    • one year ago
  7. Bbambino1976 Group Title
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    Let me explain this and please tell me if I got it or not?

    • one year ago
  8. Bbambino1976 Group Title
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    sin is positive in qued 1 or 2, so u subtract from 205 untill u get to 180? hence the 25.

    • one year ago
  9. Jbo11 Group Title
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    um well not quite. So first info is given that the angle needs to be acute. And an acute angle must be less than 90 degrees, and this is taught in geometry. So by that definition, you know you are looking for an angle in the first quadrant. Second, it tells you need sin that is equivalent to sin(205) so hopefully with this picture it will help

    • one year ago
  10. Jbo11 Group Title
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    |dw:1383427677574:dw|

    • one year ago
  11. Jbo11 Group Title
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    so by using those rules 1. acute is less than 90 degrees 2. sin must be positive 3. the angle you are looking for has paired angle. you find the angle by 205-180 because you are looking for an angle that is exactly half around the unit circle which is 360 degrees

    • one year ago
  12. Bbambino1976 Group Title
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    so the acute angles of A & B have the same degree measurement?

    • one year ago
  13. Jbo11 Group Title
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    yup, only difference is one is negative and the other positive. if you have a calculator you can show yourself they are the same too. sin(205)=sin(25)

    • one year ago
  14. Bbambino1976 Group Title
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    cool learning is fun! when i put sin(25) in my calculator i get 0.422.

    • one year ago
  15. Jbo11 Group Title
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    haha sure is, and ye, the point of me telling you to try your calculator was to see that the decimal answer you get for sin(205) is the same as sin(25) just one is + and the other -

    • one year ago
  16. Jbo11 Group Title
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    so sin (205) should be -0.422

    • one year ago
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