Question

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

Answer 1

C) sqrt 2 /2

Answer 2

How did u get this?

Answer 3

look at the unit circle on the last page of this cheat sheet.

Answer 4

c

Answer 5

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

Answer 6

you can also do it directly using a triangle but this one comes up so often it is best to memorize it

Answer 7

ok then how would i do a problem like

tan( -337 pie /4 )

Answer 8

oh lord. first of all you best find a point between 0 and 2 pi that is coterminal with
\[\frac{-337\pi}{4}\]

Answer 9

pie?

Answer 10

myininaya will who you how, because last time i did this i got in a huge discussion
mmmm pie

Answer 11

apple pie?

Answer 12

o.o

Answer 13

chicken pot pie

Answer 14

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
\[-\frac{\pi}{4}\]

Answer 15

rhubarb pie

Answer 16

what value does pie hold?

Answer 17

does pie=pi?

Answer 18

\[\sin(-\frac{\pi}{4})=-\frac{\sqrt{2}}{2}, \cos(-\frac{\pi}{4})=\frac{\sqrt{2}}{2}\] and since tangent is the ratio of sine over cosine you get -1

Answer 19

so the final answer is -1?

Answer 20

yup

Answer 21

and if you doubt me, here is proof
http://www.wolframalpha.com/input/?i=tan%28-337+pi%2F4%29

Answer 22

\[\color{blue}{\text{sk}}\color{red}{\pi}\color{blue}{\text{y}}\]

Answer 23

that, my myininaya, was for you

Answer 24

pie?

Answer 25

c'mon. what did i write?

Answer 26

pi?

Answer 27

nope

Answer 28

what do you see there?

Answer 29

lol this pie concerns me

Answer 30

not your pi
his pie

Answer 31

i made a joke. visual pun. ok not that clever but still...