Find the value of $sin( heta)$ and $cos( heta)$ for $ heta = 45^circ$ on the unit circle.
Answer 1
Samuel Scott
To find $\sin(45^\circ)$ and $\cos(45^\circ)$, we can use the unit circle properties.
On the unit circle, the angle $45^\circ$ (or $\frac{\pi}{4}$ radians) corresponds to the point $\left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right)$.
Therefore:
$\sin(45^\circ) = \frac{\sqrt{2}}{2}$
$\cos(45^\circ) = \frac{\sqrt{2}}{2}$
Answer 2
William King
For $ heta = 45^circ$, we look at the unit circle where $ heta$ is $45^circ$.
The coordinates for $45^circ$ are $left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight)$.
Thus:
$sin(45^circ) = frac{sqrt{2}}{2}$
$cos(45^circ) = frac{sqrt{2}}{2}$
Answer 3
Daniel Carter
At $ heta = 45^circ$ on the unit circle, the coordinates are $left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight)$.
Therefore:
$sin(45^circ) = frac{sqrt{2}}{2}$
$cos(45^circ) = frac{sqrt{2}}{2}$
Start Using PopAi Today