Find the value of $sin(45°)$ using the unit circle.
Answer 1
Amelia Mitchell
First, we need to locate the angle 45° on the unit circle. The coordinates of this angle on the unit circle are (√2/2, √2/2).
The sine of the angle is the y-coordinate of the point on the unit circle corresponding to that angle.
Therefore,
$\sin(45°) = \frac{\sqrt{2}}{2}$
Answer 2
Charlotte Davis
To find the value of $sin(45°)$, we begin by locating 45° on the unit circle. The point corresponding to 45° on the unit circle has coordinates (√2/2, √2/2).
Since the sine of an angle is given by the y-coordinate of the corresponding point on the unit circle, we have:
$sin(45°) = frac{sqrt{2}}{2}$
Answer 3
James Taylor
On the unit circle, the point for 45° is (√2/2, √2/2). The sine of 45° is the y-coordinate:
$sin(45°) = frac{sqrt{2}}{2}$
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