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Mathematics 22 Online
OpenStudy (anonymous):

find the exact value of csc 5pi/3

OpenStudy (goformit100):

|dw:1364150346359:dw|

OpenStudy (anonymous):

\[ 5\pi/3 = 2\pi - \pi/3 \]

OpenStudy (anonymous):

\[ \csc(x) = \frac{1}{\sin(x)} \]

OpenStudy (goformit100):

gREAT WORK @wio

OpenStudy (anonymous):

\(\sin\) is odd, so \(\sin(-x) = -\sin(x)\)

OpenStudy (anonymous):

So the exact value is \[ -\frac{1}{\sin(\pi/3)} \]You just need to remember what \(\sin(\pi/3)\) is.

OpenStudy (anonymous):

so whats sin (pi/3)

OpenStudy (anonymous):

|dw:1364150613212:dw|

OpenStudy (anonymous):

This is a special angle...

OpenStudy (anonymous):

is it radical 3/2

OpenStudy (anonymous):

|dw:1364150694284:dw|

OpenStudy (anonymous):

|dw:1364150792817:dw|

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