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Mathematics
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OpenStudy (kkbrookly):
Can someone help me?
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OpenStudy (anonymous):
ill help
OpenStudy (anonymous):
thats math?
OpenStudy (jdoe0001):
hold the mayo
OpenStudy (kkbrookly):
Hold the mayo?
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OpenStudy (jdoe0001):
yes.... just extra mustard =)
OpenStudy (kkbrookly):
Haha okay. Are you able to help me again?
OpenStudy (jdoe0001):
\(\bf \cfrac{1+cos(2\alpha)}{sin(2\alpha)}
\\ \quad \\
\textit{Double Angle Identities}
\\ \quad \\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\
cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
1-2sin^2(\theta)\\
2cos^2(\theta)-1
\end{cases}\qquad thus
\\ \quad \\
\cfrac{\cancel{1}+[{\color{brown}{ 2cos^2(\alpha)\cancel{-1} }}]}{{\color{brown}{ 2sin(\alpha)cos(\alpha)}}}\implies
\cfrac{2cos^2(\alpha)}{2sin(\alpha)cos(\alpha)}
\\ \quad \\
\cfrac{\cancel{2} cos(\alpha)\cancel{cos(\alpha)}}{\cancel{2} sin(\alpha)\cancel{cos(\alpha)}}\implies ?\)
OpenStudy (kkbrookly):
cos(α)/sin(α)
OpenStudy (jdoe0001):
yeap
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OpenStudy (kkbrookly):
So it's not an identity?
OpenStudy (jdoe0001):
eh? well check your basic identities
what's \(\bf \cfrac{cos(\theta)}{sin(\theta)} =?\)
OpenStudy (kkbrookly):
ohhh it does equal cot
OpenStudy (jdoe0001):
yeap
OpenStudy (kkbrookly):
My bad. Thanks!!!
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OpenStudy (jdoe0001):
yw
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