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  • 09-11-2018
  • Mathematics
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If the point (-2,3) lies on the terminal side of an angle alpha, find the value of cos alpha

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Аноним Аноним
  • 09-11-2018

cos a = adjacent /  hypotenuse

r = radius

cos a = x / r

To find the radius we use the following

[tex]r = \sqrt{x^2 + y^2}[/tex]

[tex]r = \sqrt{-2^2 + 3^2}[/tex]

[tex]r = \sqrt{13}[/tex]

[tex]\cos \alpha = \frac{x}{r}[/tex]

[tex]\cos \alpha = \frac{-2}{\sqrt{13}}[/tex]

[tex]\cos \alpha = -\frac{2\sqrt{13}}{13}[/tex]

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