Question

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

Answer 1

`\cos(30) = (\sqrt3)/(2)`

Explanation:

Required

Exact value of
`\cos(30)`

`\cos(30)` is calculated from an equilateral triangle, divided into with the following dimensions

`Hypotenuse = 6`

`Adjacent = 3`

`Opposite = 3\sqrt 3`

So:

`\cos(30) = (3\sqrt3)/(6)`

`\cos(30) = (\sqrt3)/(2)`