$Convert 135 degrees to radians and find the sine and cosine values.$

To convert 135 degrees to radians, we use the formula:

$\text{Radians} = \text{Degrees} \times \frac{\pi}{180}$

So,

$135 \times \frac{\pi}{180} = \frac{135\pi}{180} = \frac{3\pi}{4}$

Next, we find the sine and cosine values for $\frac{3\pi}{4}$:

$\sin\left(\frac{3\pi}{4}\right) = \sin\left(\pi – \frac{\pi}{4}\right) = \sin\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}$

$\cos\left(\frac{3\pi}{4}\right) = \cos\left(\pi – \frac{\pi}{4}\right) = -\cos\left(\frac{\pi}{4}\right) = -\frac{\sqrt{2}}{2}$

Therefore,

$\text{Radians} = \frac{3\pi}{4}, \sin = \frac{\sqrt{2}}{2}, \cos = -\frac{\sqrt{2}}{2}$

Convert 135 degrees to radians:

$135 imes frac{pi}{180} = frac{3pi}{4}$

Find the sine and cosine values:

$sinleft(frac{3pi}{4}
ight) = frac{sqrt{2}}{2}$

$cosleft(frac{3pi}{4}
ight) = -frac{sqrt{2}}{2}$

So the radians are $frac{3pi}{4}$, sine is $frac{sqrt{2}}{2}$, and cosine is $-frac{sqrt{2}}{2}$.

Convert 135 degrees to radians:

$135 imes frac{pi}{180} = frac{3pi}{4}$

Sine: $frac{sqrt{2}}{2}$

Cosine: $-frac{sqrt{2}}{2}$

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