cos 30°
In mathematics, “cos” stands for cosine, which is a trigonometric function used to calculate the ratio of the length of the adjacent side of a right triangle to the length of the hypotenuse
In mathematics, “cos” stands for cosine, which is a trigonometric function used to calculate the ratio of the length of the adjacent side of a right triangle to the length of the hypotenuse. In this case, we are asked to find the value of cos 30°.
To calculate the value of cosine of an angle, we can use either a calculator or the unit circle. In this case, let’s use the unit circle.
The unit circle is a circle with a radius of 1, centered at the origin of a coordinate plane. It is used to understand the values of sine, cosine, and other trigonometric functions for different angles.
To find cos 30°, we locate the angle 30° on the unit circle. This angle is in the first quadrant, which means the x-coordinate of the point where the angle intersects the unit circle will give us the value of cosine.
In the unit circle, we can see that when an angle of 30° is formed, the corresponding point on the unit circle is (√3/2, 1/2).
Therefore, cos 30° equals the x-coordinate of this point, which is √3/2.
Hence, cos 30° = √3/2.
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