There are actually many values of alpha (α) such that cos(α) = 1/2. Here are a few examples:
- α = 60 degrees (or π/3 radians). In a 30-60-90 right triangle, the adjacent side (which is half the length of the hypotenuse) has a ratio of 1/2 to the hypotenuse, so cos(60) = 1/2.
- α = 300 degrees (or 5π/3 radians). This is simply the negative angle of α = 60 degrees, since cosine is an even function (i.e. cos(-x) = cos(x)).
- α = π/3 - 2πn or 5π/3 + 2πn, where n is any integer. These are all angles that are coterminal with α = 60 degrees, since adding or subtracting a full revolution (2π radians) doesn't change the value of cosine.
"cos" 〖"α" ="1" /"2" 〗
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