Calculate the $sin$ and $cos$ values at $45^circ$ using the unit circle
Answer 1
Michael Moore
To calculate the sine and cosine values at $45^\circ$ using the unit circle, we recognize that a $45^\circ$ angle forms an isosceles right triangle in the unit circle.
The coordinates of the point where the angle intersects the unit circle are $(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$.
Therefore, the values are:
$\sin(45^\circ) = \frac{\sqrt{2}}{2}$
$\cos(45^\circ) = \frac{\sqrt{2}}{2}$
Answer 2
Emily Hall
Using the unit circle, a $45^circ$ angle corresponds to the coordinates $(frac{sqrt{2}}{2}, frac{sqrt{2}}{2})$.
Thus,
$sin(45^circ) = frac{sqrt{2}}{2}$
$cos(45^circ) = frac{sqrt{2}}{2}$
Answer 3
Olivia Lee
From the unit circle:
$sin(45^circ) = frac{sqrt{2}}{2}$
$cos(45^circ) = frac{sqrt{2}}{2}$
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