Why is cos pi/3 is equal to 1/2 ?

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Why is cos pi/3 is equal to 1/2 ?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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because it is!
give me an explanation.
pi/3 is equal to 60 degrees and you use the reference triangle to solve

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Other answers:

if you take the trigonometric circle (with radius one cm)and draw the angle pi/3 or 60 grades, and measure its projection on the x axis , it will be 0.5 cm
thanks!
np :) that's how it works with all the other angles, for cos and sin

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