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Find the sine of the given angle on the unit circle.

Answer 1

Abigail Nelson

Thomas Walker

Given the angle $ \theta = 30^{\circ} $, we need to find $ \sin(\theta) $ using the unit circle.

On the unit circle, the coordinates of the point corresponding to $ 30^{\circ} $ are $ \left( \frac{\sqrt{3}}{2}, \frac{1}{2} \right) $. The sine of an angle is the y-coordinate of this point. Therefore,

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

Answer 2

Alex Thompson

Alex Thompson

To find $ sin(30^{circ}) $ using the unit circle, we look at the coordinates of the point at $ 30^{circ} $. These coordinates are $ left( frac{sqrt{3}}{2}, frac{1}{2}
ight) $. Hence, the sine is the y-coordinate:

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

Answer 3

Amelia Mitchell

James Taylor

The sine of $ 30^{circ} $ is the y-coordinate on the unit circle, which is

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