Question

Use the unit circle and special right triangle to find the exact value. No decimalscos(pi/3)

Answer 1

`\cos (\pi/3)\text{ = }\frac{\sqrt[]{3}}{2}`

Step-by-step explanation

We need to find the value of cos(π/3) using special right triangle.

First, we have to simplify π/3 (in radian)

π radians is equivalent to 180 degrees.

This means that π/3 is equal to:

180/3 = 60 degrees

We need to draw the special right triangle for 60 degrees:

The trigonometric ratio for cosine is:

`\cos \Theta\text{ = }(adjacent)/(hypotenuse)`

So, using that, we have that the value of cos(π/3) is:

`\cos \mleft(\pi/3\mright)\text{ = }\frac{\sqrt[]{3}}{2}`