Find the value of $cos( heta)$ and $sin( heta)$ for $ heta = 225^circ$
Answer 1
Lucas Brown
First, we need to find the reference angle for $\theta = 225^\circ$. Since $225^\circ$ is in the third quadrant, the reference angle is:
$225^\circ – 180^\circ = 45^\circ$
In the third quadrant, the cosine and sine values are negative. For a $45^\circ$ reference angle, we have:
$\cos(45^\circ) = \frac{\sqrt{2}}{2}$ and $\sin(45^\circ) = \frac{\sqrt{2}}{2}$
Thus, in the third quadrant:
$\cos(225^\circ) = -\frac{\sqrt{2}}{2}$
$\sin(225^\circ) = -\frac{\sqrt{2}}{2}$
Answer 2
Mia Harris
To find $cos(225^circ)$ and $sin(225^circ)$, recognize that $225^circ$ is in the third quadrant where both cosine and sine are negative. The reference angle is:
$225^circ – 180^circ = 45^circ$
For $ heta = 45^circ$, we have:
$cos(45^circ) = frac{sqrt{2}}{2}$ and $sin(45^circ) = frac{sqrt{2}}{2}$
Therefore, for $225^circ$:
$cos(225^circ) = -frac{sqrt{2}}{2}$
$sin(225^circ) = -frac{sqrt{2}}{2}$
Answer 3
Henry Green
We need the values of $cos(225^circ)$ and $sin(225^circ)$. Since $225^circ$ is in the third quadrant, its reference angle is:
$225^circ – 180^circ = 45^circ$
Thus:
$cos(225^circ) = -frac{sqrt{2}}{2}$
$sin(225^circ) = -frac{sqrt{2}}{2}$
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