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Answer:
[tex]\cos(30) = \frac{\sqrt3}{2}[/tex]
Step-by-step explanation:
Required
Exact value of [tex]\cos(30)[/tex]
[tex]\cos(30)[/tex] is calculated from an equilateral triangle, divided into with the following dimensions
[tex]Hypotenuse = 6[/tex]
[tex]Adjacent = 3[/tex]
[tex]Opposite = 3\sqrt 3[/tex]
So:
[tex]\cos(30) = \frac{3\sqrt3}{6}[/tex]
[tex]\cos(30) = \frac{\sqrt3}{2}[/tex]