anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
C) sqrt 2 /2
anonymous
  • anonymous
How did u get this?
anonymous
  • anonymous
look at the unit circle on the last page of this cheat sheet.

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

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