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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
 2 years ago
 2 years ago
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
 2 years ago
 2 years ago

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satellite73Best ResponseYou've already chosen the best response.2
look at the unit circle on the last page of this cheat sheet.
 2 years ago

satellite73Best ResponseYou've already chosen the best response.2
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
 2 years ago

satellite73Best ResponseYou've already chosen the best response.2
you can also do it directly using a triangle but this one comes up so often it is best to memorize it
 2 years ago

ZeroATBest ResponseYou've already chosen the best response.0
ok then how would i do a problem like tan( 337 pie /4 )
 2 years ago

satellite73Best ResponseYou've already chosen the best response.2
oh lord. first of all you best find a point between 0 and 2 pi that is coterminal with \[\frac{337\pi}{4}\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.2
myininaya will who you how, because last time i did this i got in a huge discussion mmmm pie
 2 years ago

satellite73Best ResponseYou've already chosen the best response.2
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 \[\frac{\pi}{4}\]
 2 years ago

myininayaBest ResponseYou've already chosen the best response.0
what value does pie hold?
 2 years ago

satellite73Best ResponseYou've already chosen the best response.2
\[\sin(\frac{\pi}{4})=\frac{\sqrt{2}}{2}, \cos(\frac{\pi}{4})=\frac{\sqrt{2}}{2}\] and since tangent is the ratio of sine over cosine you get 1
 2 years ago

ZeroATBest ResponseYou've already chosen the best response.0
so the final answer is 1?
 2 years ago

satellite73Best ResponseYou've already chosen the best response.2
and if you doubt me, here is proof http://www.wolframalpha.com/input/?i=tan%28337+pi%2F4%29
 2 years ago

satellite73Best ResponseYou've already chosen the best response.2
\[\color{blue}{\text{sk}}\color{red}{\pi}\color{blue}{\text{y}}\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.2
that, my myininaya, was for you
 2 years ago

satellite73Best ResponseYou've already chosen the best response.2
c'mon. what did i write?
 2 years ago

satellite73Best ResponseYou've already chosen the best response.2
what do you see there?
 2 years ago

myininayaBest ResponseYou've already chosen the best response.0
lol this pie concerns me
 2 years ago

satellite73Best ResponseYou've already chosen the best response.2
i made a joke. visual pun. ok not that clever but still...
 2 years ago
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