Understanding and Finding the Cosine of 45 Degrees | Unit Circle and Calculator Methods

cos45

The cosine of 45 degrees (cos 45°) can be found using the unit circle or a calculator

The cosine of 45 degrees (cos 45°) can be found using the unit circle or a calculator. The unit circle is a circle with a radius of 1 unit, where the angle is measured from the positive x-axis in the counterclockwise direction.

To find the cosine of 45 degrees on the unit circle, imagine drawing a line from the center of the unit circle to the point where the angle of 45 degrees intersects the circle. This line will form a right triangle with the x-axis.

The length of the horizontal leg of the right triangle (adjacent side) will be the value of the cosine. Since this line intersects the unit circle at a point with coordinates (√2/2, √2/2), the value of cos 45° is √2/2.

Using a calculator, you can simply input cos 45°, and it will give you the value of √2/2, which is approximately 0.7071.

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