kristenelise02 kristenelise02
  • 20-08-2019
  • Mathematics
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Find the terminal point on the unit circle determined by 11pi/6 radiants

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 30-08-2019

Answer:

[tex](\frac{\sqrt{3}}{2},-\frac{1}{2})[/tex]

Step-by-step explanation:

The unit circle has the parametric equation:

[tex]x=\cos \theta[/tex]

[tex]y=\sin \theta[/tex]

where [tex]\theta=\frac{11\pi }{6}[/tex] in our case is the terminal side of the angle in standard position.

We substitute to get:

[tex]x=\cos \frac{11\pi }{6}=\frac{\sqrt{3}}{2}[/tex]

[tex]y=\sin \frac{11\pi }{6}=-\frac{1}{2}[/tex]

[tex]\therefore (\frac{\sqrt{3}}{2},-\frac{1}{2})[/tex] is the required point.

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