Answered

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Find the exact value of cos 30° in simplest form with a rational denominator.

Sagot :

MrRoyal

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]

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