Find the value of $sin$, $cos$, and $ an$ for $45^circ$ using the unit circle.
Answer 1
Isabella Walker
To find the values of $\sin$, $\cos$, and $\tan$ for $45^\circ$ using the unit circle, we first note that $45^\circ$ is equivalent to $\frac{\pi}{4}$ radians.
On the unit circle, the coordinates for $\frac{\pi}{4}$ radians (or $45^\circ$) are $( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} )$.
Therefore:
$\sin(45^\circ) = \frac{\sqrt{2}}{2} $
$\cos(45^\circ) = \frac{\sqrt{2}}{2} $
$\tan(45^\circ) = \frac{\sin(45^\circ)}{\cos(45^\circ)} = 1 $
Answer 2
Joseph Robinson
Using the unit circle, we identify that $45^circ$ is equal to $frac{pi}{4}$ radians.
The coordinates on the unit circle for $frac{pi}{4}$ are precisely $left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight)$.
Thus:
$sin(45^circ) = frac{sqrt{2}}{2} $
$cos(45^circ) = frac{sqrt{2}}{2} $
$ an(45^circ) = 1 $
Answer 3
James Taylor
On the unit circle, at $45^circ$ (or $frac{pi}{4}$ radians), 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} $
$ an(45^circ) = 1 $
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