Find the values of sine, cosine, and tangent of an angle $ heta$ when the angle is $225^circ$

To find the values of sine, cosine, and tangent of an angle $\theta$ when the angle is $225^\circ$, we use the unit circle:

The angle $225^\circ$ lies in the third quadrant, where sine and cosine are both negative:

$\sin(225^\circ) = \sin(180^\circ + 45^\circ) = -\sin(45^\circ) = -\frac{\sqrt{2}}{2}$

$\cos(225^\circ) = \cos(180^\circ + 45^\circ) = -\cos(45^\circ) = -\frac{\sqrt{2}}{2}$

$\tan(225^\circ) = \frac{\sin(225^\circ)}{\cos(225^\circ)} = \frac{-\frac{\sqrt{2}}{2}}{-\frac{\sqrt{2}}{2}} = 1$

For the angle $225^circ$ in the unit circle:

$sin(225^circ) = -frac{sqrt{2}}{2}$

$cos(225^circ) = -frac{sqrt{2}}{2}$

$ an(225^circ) = 1$

$sin(225^circ) = -frac{sqrt{2}}{2}$

$cos(225^circ) = -frac{sqrt{2}}{2}$

$ an(225^circ) = 1$

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