anonymous
  • anonymous
Find the exact value. Use a sum or difference identity. sin(-105˙)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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mattfeury
  • mattfeury
-105 degrees = 255 degrees 255˙ - 180˙= 75˙, so this is a 75 degree angle in the 3rd quadrant of the unit circle, meaning x and y are both negative.
anonymous
  • anonymous
Omg, thank you so muchh! :D
mattfeury
  • mattfeury
no problem. please give medals to answerers that are helpful :) so sin(-105˙) = - sin(75˙)

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anonymous
  • anonymous
Thankss!!!
anonymous
  • anonymous
Wait, but then what is sin(75˙) ?
mattfeury
  • mattfeury
you can use the half angle identity, just like here: http://www.schooltrainer.com/homework-answers/use-a-half-angle-identity-to-find-the-exact-value-sin75-degrees
anonymous
  • anonymous
That helps but I have to use the Angle Sum/Difference Identities.
anonymous
  • anonymous
Don't know how Mathematica did it but here is what you will have to shoot for: \[\text{Sin}[-105\text{Degree}]=-\frac{1+\sqrt{3}}{2 \sqrt{2}} \]

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