ZeroAT
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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abhisheksingh59
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C) sqrt 2 /2
ZeroAT
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How did u get this?
anonymous
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look at the unit circle on the last page of this cheat sheet.
cyter
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c
anonymous
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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
anonymous
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you can also do it directly using a triangle but this one comes up so often it is best to memorize it
ZeroAT
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ok then how would i do a problem like
tan( -337 pie /4 )
anonymous
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oh lord. first of all you best find a point between 0 and 2 pi that is coterminal with
\[\frac{-337\pi}{4}\]
myininaya
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pie?
anonymous
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myininaya will who you how, because last time i did this i got in a huge discussion
mmmm pie
myininaya
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apple pie?
ZeroAT
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o.o
myininaya
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chicken pot pie
anonymous
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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
\[-\frac{\pi}{4}\]
anonymous
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rhubarb pie
myininaya
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what value does pie hold?
myininaya
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does pie=pi?
anonymous
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\[\sin(-\frac{\pi}{4})=-\frac{\sqrt{2}}{2}, \cos(-\frac{\pi}{4})=\frac{\sqrt{2}}{2}\] and since tangent is the ratio of sine over cosine you get -1
ZeroAT
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so the final answer is -1?
anonymous
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yup
anonymous
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\[\color{blue}{\text{sk}}\color{red}{\pi}\color{blue}{\text{y}}\]
anonymous
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that, my myininaya, was for you
myininaya
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pie?
anonymous
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c'mon. what did i write?
myininaya
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pi?
anonymous
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nope
anonymous
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what do you see there?
myininaya
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lol this pie concerns me
myininaya
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not your pi
his pie
anonymous
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i made a joke. visual pun. ok not that clever but still...