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OpenStudy (anonymous):
(3,-2) find sin θ
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OpenStudy (anonymous):
(3,-2) find sin
OpenStudy (anonymous):
there's a theta at the end
OpenStudy (jdoe0001):
hint: \(\bf tan(\theta)=\cfrac{opposite}{adjacent}=\cfrac{y}{x}\implies \theta=tan^{-1}\left(\cfrac{y}{x}\right)
\\ \quad \\
\begin{array}{cccllll}
(3&,&-2)\\
x&&y
\end{array}\)
OpenStudy (jdoe0001):
hmm ohh ahemm shoot the sine =) ok
OpenStudy (jdoe0001):
well, that'd be one way, you get the angle
then just take the sine of the angle found
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OpenStudy (jdoe0001):
recall your SOH CAH TOA
OpenStudy (anonymous):
how would you graph it
OpenStudy (campbell_st):
just plot the point
|dw:1422231276528:dw|
OpenStudy (anonymous):
|dw:1422231831755:dw|
OpenStudy (campbell_st):
wow... the hypotenuse is
\[h^2 = 3^2 + (-2)^2\]
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OpenStudy (campbell_st):
you need to check your calculation carefully
OpenStudy (jdoe0001):
hmmm \(\bf c^2=x^2+y^2\implies c=\sqrt{x^2+y^2}\implies c=\sqrt{(-2)^2+(3)^2}
\\ \quad \\
c=\sqrt{\square ?}\)
OpenStudy (jdoe0001):
anyhow, and bear in mind that \(\bf {\color{brown}{ sin}}(\theta)=\cfrac{opposite}{hypotenuse}=\cfrac{y}{r}\)
OpenStudy (anonymous):
5?
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