How To Find The Cosine Of 45° Using A Unit Circle And Cosine Formula For Triangles

cos 45°

√2/ 2

cos 45° = √2/2

This can be found using the unit circle or by using the cosine formula for a 45-45-90 triangle. In a unit circle, at 45°, the x-coordinate is √2/2 and the y-coordinate is also √2/2. The cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse in a right triangle, so for a 45-45-90 triangle with a hypotenuse of 1, the adjacent side would also be √2/2. Therefore, cos 45° = √2/2.

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