Question

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

Answer 1

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

How to find an angle in an unit circle

Unit circles are circles with radius of 1 and centered at the origin of a Cartesian plane, which are used to determine angles and trigonometric functions related to them. If we use rectangular coordinate system and the definition of the tangent 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 unit circle and trigonometric 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