Question

How do you find the exact values `sin (pi/6)` using the special triangles?

Answer 1

`sin(pi/6)=1/2`
`color(white)("XXXXXXXX")`(see below for use of special triangle)

Explanation:

An equilateral triangle has angles of `pi/3`;
splitting an equilateral triangle as in the image below gives a `pi/6` angle

(The `sqrt(3)` length is derived using the Pythagorean Theorem).

By definition: `sin= "opposite"/"hypotenuse"`

In this case `sin(pi/6) = 1/2`