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mixer [17]
2 years ago
6

Find the angle [OA] makes with the positive x-axis if the x-coordinate of the point A on the unit circle is 0.222

Mathematics
1 answer:
EastWind [94]2 years ago
4 0

By using the concepts of <em>unit</em> circle and <em>trigonometric</em> functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.

<h3>How to find an angle in an unit circle</h3>

<em>Unit</em> circles are circles with radius of 1 and centered at the origin of a Cartesian plane, which are used to determine angles and <em>trigonometric</em> functions related to them. If we use <em>rectangular</em> coordinate system and the definition of the <em>tangent</em> function, we find that the angle OA is equal to:

\tan \theta = \frac{\sqrt{1 - x^{2}}}{x}

\tan \theta = \frac{\sqrt{1-0.222^{2}}}{0.222}

tan θ ≈ 77.173°

By using the concepts of <em>unit</em> circle and <em>trigonometric</em> functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.

To learn more on unit circles: brainly.com/question/12100731

#SPJ1

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