KaidinD590357 KaidinD590357
  • 29-10-2022
  • Mathematics
contestada

What are the solutions to cosine of theta equals negative one half comma where 0 ≤ θ ≤ 2π?

What are the solutions to cosine of theta equals negative one half comma where 0 θ 2π class=

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GeovaniM201657 GeovaniM201657
  • 29-10-2022

Okay, here we have this:

Considering the provided information, we are going to analyze in the unit circle which angles satisfy the condition, so we obtain the following:

We obtain the following general solutions:

[tex]\theta=\frac{2\pi}{3}+2\pi n,\: \theta=\frac{4\pi}{3}+2\pi n[/tex]

And those that fall within the defined interval are:

[tex]\theta=\frac{2\pi}{3},\: \theta=\frac{4\pi}{3}[/tex]

Finally we obtain that the correct answer is the second option.

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