jelly50 jelly50
  • 09-07-2018
  • Mathematics
contestada

for angle theta with the point (-20,-21) on it’s terminating side, what is the value of cosine

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jdoe0001 jdoe0001
  • 09-07-2018
[tex]\bf (\stackrel{\stackrel{adjacent}{x}}{-20}~,~\stackrel{\stackrel{opposite}{y}}{-21})\impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-20)^2+(-21)^2}\implies c=\sqrt{841}\implies c=29 \\\\\\ cos(\theta )=\cfrac{\stackrel{adjacent}{-20}}{\stackrel{hypotenuse}{29}}[/tex]
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