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Mathematics 10 Online
OpenStudy (study_buddy99):

reference angles... help me finish this please? (Problem in comments)

OpenStudy (study_buddy99):

\[\csc (-60)\]|dw:1461883349924:dw|

OpenStudy (jdoe0001):

use SOH CAH TOA :/ \(sin(\theta)=\cfrac{opposite}{hypotenuse} \qquad \qquad % cosine cos(\theta)=\cfrac{adjacent}{hypotenuse} \\ \quad \\ % tangent tan(\theta)=\cfrac{opposite}{adjacent}\) to get the cosine I'd think that'd be obvious

OpenStudy (study_buddy99):

I did do that... I don't know how to continue though.

OpenStudy (jdoe0001):

well.. what did you get by using the cosine identity then?

OpenStudy (study_buddy99):

1/-sqrt-3/2

OpenStudy (jdoe0001):

ohh hmmm rats... is cosecant... kinda misread there, thought it was cosine

OpenStudy (jdoe0001):

hmmm ok... so.. .your cosecant is correct.... but we do know from the getgo is a -60 degree angle, so... what are you asked to find again?

OpenStudy (study_buddy99):

csc -60

OpenStudy (jdoe0001):

well, you found it :)

OpenStudy (study_buddy99):

how would I simplify it though?

OpenStudy (abdullahm):

It's better to use |dw:1461885653069:dw| Now we have to simplify \(\Large\bf -\frac{2}{\sqrt{3}}\) The easiest way to do that is to multiply the numerator and denominator by sqrt(3) so that way we can "rationalize" the denominator. \(\Large\bf -\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}=?\)

OpenStudy (study_buddy99):

I'm not allowed to do that :(

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