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ind two negative and three positive​ angles, expressed in​ radians, for which the point on the unit circle that corresponds to each angle is (√2/2,√2/2)

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Sagot :

facundo3141592
  • negative angles are:{-315°, -675°}
  • positive angles can be: {45°, 405°, 765°}

How to find the angles?

Remember that for a given angle θ, any point on the unit circle is written as:

(cos(θ), sin(θ)).

And remember that:

cos(45°) = sin(45°) = √2/2

Then the angle θ = 45° is a solution.

To find another positive solution, we just add the period of the circle, which is 360°.

θ = 45° + 360° = 405°

Adding the period again:

θ = 405° + 360° = 765°

So the 3 positive solutions can be:

{45°, 405°, 765°}

To get the negative angles we just subtract the period:

45° - 360° = -315°

We can do that again:

-315° - 360° = -675°

So the two negative angles are:

{-315°, -675°}

If you want to learn more about the unit circle:

https://brainly.com/question/23989157

#SPJ1

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