example1726 example1726
  • 25-06-2017
  • Mathematics
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what is the value of tanθ when it is at 315 degrees point (√ ̅33,-4)

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jdoe0001 jdoe0001
  • 25-06-2017
[tex]\bf \begin{array}{clclll} (\sqrt{33}&,&-4)\\ x&&y \end{array}\qquad \qquad tan(\theta)=\cfrac{y}{x}\implies tan(\theta )=\cfrac{-4}{\sqrt{3}} \\\\\\ \textit{now, let's rationalize the denominator} \\\\\\ \cfrac{-4}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{-4\sqrt{3}}{(\sqrt{3})^2}\implies \boxed{\cfrac{-4\sqrt{3}}{3}}[/tex]
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