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satellite73Best ResponseYou've already chosen the best response.0
you are looking for the number between 0 and \(\pi\) whose cosine is \(\frac{1}{2}\)
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
if you still have that cheat sheet, look at the place on the upper half of the unit circle where the second coordinate is \(\frac{1}{2}\)
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
ok here is the picture dw:1351127015253:dw
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
in 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
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
the hypotenuse we find by pythagoras, it is \(\sqrt{1^2+2^2}=\sqrt{1+4}=\sqrt{5}\)
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
and using sine as "opposite over hypotenuse" we see that the sine of the angle is \[\frac{2}{\sqrt{5}}\]
 one year ago
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