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
(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.

Related questions
See all questions in Trigonometric Functions of Any Angle
Impact of this question
82029 views around the world
You can reuse this answer
Creative Commons License