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OpenStudy (babynini):
\[\tan(\theta)=\frac{ 2 }{ -2\sqrt{3} }\]
OpenStudy (babynini):
\[\theta = \tan ^{-1}(\frac{ 2 }{ -2\sqrt{3} })\]
OpenStudy (babynini):
@Nnesha
OpenStudy (babynini):
@jim_thompson5910
Nnesha (nnesha):
can you cancel out 2's ??
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OpenStudy (babynini):
multiply it by 2/2?
OpenStudy (babynini):
ooh I see what you're saying, sorry.
OpenStudy (babynini):
err can I?
OpenStudy (babynini):
then it would be \[\frac{ 1 }{ -\sqrt{3} }\]
Nnesha (nnesha):
\[\huge\rm tan(\theta) =\color{red}{-\frac{ 2 }{ 2\sqrt{3}} }\]
first of all solve red part :-)
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Nnesha (nnesha):
\(\color{blue}{\text{Originally Posted by}}\) @Babynini
then it would be \[\frac{ 1 }{ -\sqrt{3} }\]
\(\color{blue}{\text{End of Quote}}\)
yes but you ca't have radical at the denominator so multiply top and bottom by sqrt{3}
OpenStudy (babynini):
\[\frac{ \sqrt{3} }{ 3 }\]
OpenStudy (babynini):
with a negative in front :P
Nnesha (nnesha):
\[\theta= \tan^{-1} (-\frac{\sqrt{3}}{3} )\]
from there do you wanna use a calculator or draw triangle ?
OpenStudy (babynini):
Triangle! Because what I need is it in radical form
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OpenStudy (babynini):
(for example 5pi/6)
Nnesha (nnesha):
|dw:1432009784662:dw|
to make a triangle we know that it's not going to be in 1st and 3rd quadrant bec tan is positive in 1st and 3rd q