Find the sine and cosine values for an angle of $45^circ$ on the unit circle.
Answer 1
Henry Green
Using the unit circle, we can determine the sine and cosine values of $45^\circ$.
$45^\circ$ (or $\frac{\pi}{4}$ radians) is a commonly known angle.
The coordinates of the point on the unit circle corresponding to $45^\circ$ are $(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$.
Therefore, the sine value is $\sin(45^\circ) = \frac{\sqrt{2}}{2}$ and the cosine value is $\cos(45^\circ) = \frac{\sqrt{2}}{2}$.
Answer 2
Joseph Robinson
To find the sine and cosine of $45^circ$ on the unit circle:
The angle $45^circ$ corresponds to $frac{pi}{4}$ radians.
On the unit circle, the coordinates of the angle $45^circ$ are $(frac{sqrt{2}}{2}, frac{sqrt{2}}{2})$.
Thus, $sin(45^circ) = frac{sqrt{2}}{2}$ and $cos(45^circ) = frac{sqrt{2}}{2}$.
Answer 3
Alex Thompson
The sine and cosine values for $45^circ$ are found using the unit circle:
$sin(45^circ) = frac{sqrt{2}}{2}$
$cos(45^circ) = frac{sqrt{2}}{2}$
Start Using PopAi Today