Question

Show that sin (30°) = 1/2

Answer 1

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.

$\sin(30^\circ)=\frac{\frac{p}{2}}{p}=\frac{p}{2} \cdot \frac{1}{p}=\frac{1}{2}$

$\sin(30^\circ)=\frac{1}{2}$