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Please answer this question . when you solve it please explain how you got the answer . thank you.



Please answer this question . when you solve it please explain how you got the answer-example-1

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Answer:

210°

Explanation:

You want the angle in standard position to the point (-√3, -1).

Angle

The angle θ in standard position to a point (x, y) can be found from ...

tan(θ) = y/x

θ = arctan(y/x)

The arctangent function gives an angle between -90° and +90°, so will give the value of the reference angle in this case. To find the angle in quadrant III, we must add 180° to the reference angle.

θ = arctan(-1/-√3) + 180° = 210°

The angle shown is 210°.

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Additional comment

If you draw a vertical line from the point to the x-axis, you have a right triangle with side lengths 1 and √3. You know from your memory of special right triangles that this is a 30°-60°-90° triangle, whose smallest angle is 30°. This is the reference angle, so the angle of interest is 180° +30° = 210°.

Please answer this question . when you solve it please explain how you got the answer-example-1
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