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anonymous
 5 years ago
Find the exact value. Use a sum or difference identity.
sin(105˙)
anonymous
 5 years ago
Find the exact value. Use a sum or difference identity. sin(105˙)

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mattfeury
 5 years ago
Best ResponseYou've already chosen the best response.1105 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
 5 years ago
Best ResponseYou've already chosen the best response.0Omg, thank you so muchh! :D

mattfeury
 5 years ago
Best ResponseYou've already chosen the best response.1no problem. please give medals to answerers that are helpful :) so sin(105˙) =  sin(75˙)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Wait, but then what is sin(75˙) ?

mattfeury
 5 years ago
Best ResponseYou've already chosen the best response.1you can use the half angle identity, just like here: http://www.schooltrainer.com/homeworkanswers/useahalfangleidentitytofindtheexactvaluesin75degrees

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That helps but I have to use the Angle Sum/Difference Identities.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Don'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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