How do you evaluate sin(0)?

1 Answer
lechugamaestro19
Feb 17, 2018

Use the unit circle to evaluate it to be 0.

Explanation:

![https://en.wikipedia.org/wiki/Unit_circle#/media/File:Unit_circle_angles_color.svg](useruploads.socratic.org)
(This one's from Wikipedia, but any version of it will be more or less the same.)

On the unit circle, the x-coordinate at each position is the cosine of the given angle, and the y-coordinate is the sine.

For theta = 0, the rightmost point, the coordinate pair is (1, 0). The y-coordinate is 0, so sin(0) = 0.

If you're not at the point where you need to use the unit circle yet, it will probably be more useful to just memorize that sin(0) = 0 or to use a calculator.

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