Find the values of $sin$, $cos$, and $ an$ for $45^circ$ on the unit circle.

Given $\theta = 45^\circ$, we need to find the values of $\sin(45^\circ)$, $\cos(45^\circ)$, and $\tan(45^\circ)$.

From the unit circle, we know that $\sin(45^\circ) = \frac{\sqrt{2}}{2}$ and $\cos(45^\circ) = \frac{\sqrt{2}}{2}$.

Using the identity $\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$, we get:

$\tan(45^\circ) = \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1$

Therefore, $\sin(45^\circ) = \frac{\sqrt{2}}{2}$, $\cos(45^\circ) = \frac{\sqrt{2}}{2}$, and $\tan(45^\circ) = 1$.

Given angle $45^circ$, let’s find $sin(45^circ)$, $cos(45^circ)$, and $ an(45^circ)$ using the unit circle.

We know from trigonometric ratios that:

$sin(45^circ) = frac{1}{sqrt{2}} = frac{sqrt{2}}{2}$

$cos(45^circ) = frac{1}{sqrt{2}} = frac{sqrt{2}}{2}$

The tangent of 45 degrees is:

$ an(45^circ) = frac{sin(45^circ)}{cos(45^circ)} = frac{frac{sqrt{2}}{2}}{frac{sqrt{2}}{2}} = 1$

So, $sin(45^circ) = frac{sqrt{2}}{2}$, $cos(45^circ) = frac{sqrt{2}}{2}$, and $ an(45^circ) = 1$.

Given $ heta = 45^circ$:

$sin(45^circ) = frac{sqrt{2}}{2}$

$cos(45^circ) = frac{sqrt{2}}{2}$

$ an(45^circ) = 1$

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