Calculus Question. Please help!

Question

Consider the numbers 0, 1, 2, 3, 4. Take the square root of each of these numbers, then divide each by . The resulting numbers should look hauntingly familiar. Describe the relationship you see between these values and trigonometric ratios.

Answer 1

My guess is that the directions ask you to divide the square root of each number by 2.

0/2 = 0

1/2

√ 2/2

√ 3/2

2/2 = 1

Now notice that

sin 0 = 0

sin 30 = 1/2

sin 45 = √2/2

sin 60 = √3/2

sin 90 = 1

Essentially if you travel around the unit circle starting at 0 in increments of 30 degrees, until you get to 90 degrees, the sine ratio results in the numbers determined by the above directions.