Exploring Trigonometric Ratios: Finding the Value of cos 45°

cos 45°

To find the value of cos 45°, we can use the knowledge of trigonometric ratios

To find the value of cos 45°, we can use the knowledge of trigonometric ratios.

In a right triangle, cosine (cos) is defined as the ratio of the length of the adjacent side to the hypotenuse.

In a standard unit circle, when we form a right triangle with a reference angle of 45°, we can see that the adjacent side length is equal to the hypotenuse (which is always 1 in a unit circle) divided by √2.

So, cos 45° = adjacent side / hypotenuse = 1 / √2 = √2 / 2.

Therefore, the value of cos 45° is √2 / 2.

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