Find the sine and cosine of $90^circ$ using the unit circle
Answer 1
On the unit circle, angles are measured counterclockwise from the positive $x$-axis:
1. $90^\circ$ is at the top of the unit circle, where the point is:
$$ (0, 1) $$
2. The cosine of the angle is the $x$-coordinate:
$$ \cos(90^\circ) = 0 $$
3. The sine of the angle is the $y$-coordinate:
$$ \sin(90^\circ) = 1 $$
Answer 2
At $90^\circ$, the point on the unit circle is $(0, 1)$:
$$ \cos(90^\circ) = 0 $$
$$ \sin(90^\circ) = 1 $$
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