Find the sine, cosine, and tangent values for $45^circ$ on the unit circle.

To find the sine, cosine, and tangent values for $45^\circ$ on the unit circle, we use the following formulas:

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

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

$\tan 45^\circ = 1$

Therefore, the sine, cosine, and tangent values for $45^\circ$ are $\frac{1}{\sqrt{2}}$, $\frac{1}{\sqrt{2}}$, and $1$ respectively.

Let’s determine the sine, cosine, and tangent values for $45^circ$ on the unit circle.

From trigonometric identities, we have:

The sine of $45^circ$ is given by:

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

The cosine of $45^circ$ is also:

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

The tangent of $45^circ$ is the ratio of sine to cosine:

$ an 45^circ = frac{sin 45^circ}{cos 45^circ} = 1$

Thus, the sine, cosine, and tangent values for $45^circ$ are $frac{sqrt{2}}{2}$, $frac{sqrt{2}}{2}$, and $1$ respectively.

For $45^circ$ on the unit circle, the sine, cosine, and tangent values are:

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

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

$ an 45^circ = 1$

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

Start Using PopAi Today