anonymous
  • anonymous
express sin 205degrees in terms of the sine of a positive acute angle. Do not evaluate.
Trigonometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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?
Jbo11
  • Jbo11
have you learned about special trig rules with trig functions?
anonymous
  • anonymous
please explain?????????????????????????

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anonymous
  • anonymous
would i have learned about this in geomiyt/?
Jbo11
  • Jbo11
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
Jbo11
  • Jbo11
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
anonymous
  • anonymous
Let me explain this and please tell me if I got it or not?
anonymous
  • anonymous
sin is positive in qued 1 or 2, so u subtract from 205 untill u get to 180? hence the 25.
Jbo11
  • Jbo11
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
Jbo11
  • Jbo11
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Jbo11
  • Jbo11
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
anonymous
  • anonymous
so the acute angles of A & B have the same degree measurement?
Jbo11
  • Jbo11
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)
anonymous
  • anonymous
cool learning is fun! when i put sin(25) in my calculator i get 0.422.
Jbo11
  • Jbo11
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 -
Jbo11
  • Jbo11
so sin (205) should be -0.422

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