Find the Exact Value cos(60)

Problem

cos(60)

Solution

1. Identify the angle in the context of the unit circle or a special right triangle. The angle 60 is one of the standard angles in trigonometry.

2. Recall the properties of a 30−60−90 triangle. In such a triangle, the side opposite the 30 angle is 1 the side opposite the 60 angle is √(,3) and the hypotenuse is 2

3. Apply the definition of the cosine function, which is the ratio of the adjacent side to the hypotenuse.

4. Calculate the value using the ratio from the triangle: cos(60)=adjacent/hypotenuse=1/2

Final Answer

cos(60)=1/2

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