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So, I have the values for sin (angle) and cos (angle)... how do I get back to my angle?
To measure an angle, you can use a protractor or a measuring tool with a degree scale. Place the center of the protractor on the vertex of the angle and align one of the sides of the angle with the baseline on the protractor. Read the degree measure where the other side of the angle intersects with the scale.
The most common unit of measurement for angles is degrees, denoted by the symbol °. A full circle is 360°, and angles can be measured in degrees from 0° to 360°.
If you know the measures of the other angles in a figure, you can use the angle sum property to find the measure of the unknown angle. For example, in a triangle, the sum of all angles is 180°. So, if you know the measures of two angles, you can subtract their sum from 180° to find the measure of the third angle.
Angles are typically measured in a counterclockwise direction, starting from the positive x-axis. In this case, angles are never negative. However, if you are measuring angles in a clockwise direction, they can be negative. Generally, it is best to measure angles in the positive direction.
You can use trigonometric functions like sine, cosine, and tangent to find the measure of an angle in a right triangle. For example, if you know the lengths of two sides of a right triangle, you can use the inverse tangent function to find the measure of the angle opposite the known sides.