Answer:
Geometric proof in explanation.
Step-by-step explanation:
Draw an equilateral triangle.
A equilateral triangle has it's sides all congruent and all it's angles measures 60 degrees.
We are going to draw a line segment to cut the equilateral triangles into two congruent right triangles. I will do this in the attachment with p being positive.
You can see we will get 30-60-90 triangles.
We don't need to find the adjacent measurement to the angle whose measurement is 30 degrees since sine is opposite over hypotenuse.
[tex]\sin(30^\circ)=\frac{\frac{p}{2}}{p}=\frac{p}{2} \cdot \frac{1}{p}=\frac{1}{2}[/tex]
[tex]\sin(30^\circ)=\frac{1}{2}[/tex]
