Find the exact values of $sin(225°)$ and $cos(225°)$ using the unit circle.

To find the exact values of $\sin(225°)$ and $\cos(225°)$, we first locate $225°$ on the unit circle.

$225°$ is in the third quadrant. The reference angle is $225° – 180° = 45°$. In the third quadrant, the sine and cosine of the reference angle are both negative.

Therefore, $\sin(225°) = -\sin(45°) = – \frac{\sqrt{2}}{2}$ and $\cos(225°) = -\cos(45°) = -\frac{\sqrt{2}}{2}$.

Thus, the exact values are:

$\sin(225°) = -\frac{\sqrt{2}}{2}$

$\cos(225°) = -\frac{\sqrt{2}}{2}$

To determine the exact values of $sin(225°)$ and $cos(225°)$, identify the location of $225°$ on the unit circle.

$225°$ is situated in the third quadrant with a reference angle of $225° – 180° = 45°$. In this quadrant, both sine and cosine are negative.

So, $sin(225°) = -sin(45°) = -frac{sqrt{2}}{2}$ and $cos(225°) = -cos(45°) = -frac{sqrt{2}}{2}$.

Hence, the exact values are:

$sin(225°) = -frac{sqrt{2}}{2}$

$cos(225°) = -frac{sqrt{2}}{2}$

Find $sin(225°)$ and $cos(225°)$:

$225°$ is in the third quadrant. Reference angle: $225° – 180° = 45°$.

In the third quadrant, sine and cosine are negative.

So:

$sin(225°) = -frac{sqrt{2}}{2}$

$cos(225°) = -frac{sqrt{2}}{2}$

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