gracemariehill10
gracemariehill10 gracemariehill10
  • 02-08-2018
  • Mathematics
contestada

For an angle (theta) with the point (5, -12) on its terminating side, what is the value of cosine?

A) 5
B) -12
C) 5/13
D) -12/13

Respuesta :

rejkjavik rejkjavik
  • 02-08-2018

we are given

(x,y)=(5,-12)

so, x=5 and y=-12

now, we can find r

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

[tex] r=\sqrt{5^2+(-12)^2} [/tex]

[tex] r=13 [/tex]

now, we can find cos

[tex] cos(\theta)=\frac{x}{r} [/tex]

so, we get

[tex] cos(\theta)=\frac{5}{13} [/tex]...........Answer

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