Answer:
cos(30°) = (√3)/2
Explanation:
You want the cosine of 30° given that the sides of a 30°-60°-90° triangle have ratios 1 : √3 : 2.
Cosine
The cosine is the ratio of the adjacent side to the hypotenuse:
Cos = Adjacent/Hypotenuse
The side adjacent to the smallest angle is the longest leg, so will be √3. The hypotenuse in this triangle is the longest side, 2.
The desired ratio is ...
cos(30°) = (√3)/2
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