Please tell me how to do this problem Evaluate : sin(1/4 pie) A) 1 B) 0 C) sqrt 2 /2 D None of these

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Please tell me how to do this problem Evaluate : sin(1/4 pie) A) 1 B) 0 C) sqrt 2 /2 D None of these

Mathematics
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C) sqrt 2 /2
How did u get this?
look at the unit circle on the last page of this cheat sheet.

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Other answers:

c
you will see that at \[\frac{\pi}{4}\] both the first and second coordinate on the unit circle is \[\frac{\sqrt{2}}{2}\] so both sine and cosine are the same there
you can also do it directly using a triangle but this one comes up so often it is best to memorize it
ok then how would i do a problem like tan( -337 pie /4 )
oh lord. first of all you best find a point between 0 and 2 pi that is coterminal with \[\frac{-337\pi}{4}\]
pie?
myininaya will who you how, because last time i did this i got in a huge discussion mmmm pie
apple pie?
o.o
chicken pot pie
ok fine. lets to it the easy (for me) way \[\frac{-337}{4}=-84\tfrac{1}{4}\] and since 2 divides 84 evenly this angle is co terminal with \[-\frac{\pi}{4}\]
rhubarb pie
what value does pie hold?
does pie=pi?
\[\sin(-\frac{\pi}{4})=-\frac{\sqrt{2}}{2}, \cos(-\frac{\pi}{4})=\frac{\sqrt{2}}{2}\] and since tangent is the ratio of sine over cosine you get -1
so the final answer is -1?
yup
and if you doubt me, here is proof http://www.wolframalpha.com/input/?i=tan%28-337+pi%2F4%29
\[\color{blue}{\text{sk}}\color{red}{\pi}\color{blue}{\text{y}}\]
that, my myininaya, was for you
pie?
c'mon. what did i write?
pi?
nope
what do you see there?
lol this pie concerns me
not your pi his pie
i made a joke. visual pun. ok not that clever but still...

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