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satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0you are looking for the number between 0 and \(\pi\) whose cosine is \(\frac{1}{2}\)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0if you still have that cheat sheet, look at the place on the upper half of the unit circle where the second coordinate is \(\frac{1}{2}\)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0ok here is the picture dw:1351127015253:dw

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0in this picture, \(\theta=\arctan(2)\) an angle whose tangent is 2 since tangent is "opposite over adjacent" i labelled the opposite side 2 and the adjacent side 1

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0the hypotenuse we find by pythagoras, it is \(\sqrt{1^2+2^2}=\sqrt{1+4}=\sqrt{5}\)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0and using sine as "opposite over hypotenuse" we see that the sine of the angle is \[\frac{2}{\sqrt{5}}\]
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