Find the sine and cosine of $150^circ$ on the unit circle
Answer 1
Henry Green
To find the sine and cosine of $150^\circ$, we first identify its reference angle:
The reference angle for $150^\circ$ is:
$180^\circ – 150^\circ = 30^\circ$
The sine and cosine of $30^\circ$ are:
$ \sin(30^\circ) = \frac{1}{2} $
$ \cos(30^\circ) = \frac{\sqrt{3}}{2} $
Since $150^\circ$ is in the second quadrant, the sine is positive and the cosine is negative:
$ \sin(150^\circ) = \sin(30^\circ) = \frac{1}{2} $
$ \cos(150^\circ) = -\cos(30^\circ) = -\frac{\sqrt{3}}{2} $
Answer 2
Charlotte Davis
To calculate the sine and cosine of $150^circ$, find its reference angle:
The reference angle for $150^circ$ is:
$ 180^circ – 150^circ = 30^circ $
The sine and cosine of $30^circ$ are:
$ sin(30^circ) = frac{1}{2} $
$ cos(30^circ) = frac{sqrt{3}}{2} $
Since $150^circ$ is in the second quadrant, we have:
$ sin(150^circ) = frac{1}{2} $
$ cos(150^circ) = -frac{sqrt{3}}{2} $
Answer 3
Olivia Lee
To determine the sine and cosine of $150^circ$:
$ sin(150^circ) = frac{1}{2} $
$ cos(150^circ) = -frac{sqrt{3}}{2} $
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