Find the sine and cosine values for the angle $ frac{5pi}{4} $ using the unit circle
Answer 1
Olivia Lee
To find the sine and cosine values for the angle $ \frac{5\pi}{4} $ using the unit circle, first note that this angle is in the third quadrant.
In the unit circle, the reference angle for $ \frac{5\pi}{4} $ is $ \frac{\pi}{4} $.
The sine and cosine values for $ \frac{\pi}{4} $ are both $ \frac{\sqrt{2}}{2} $.
Since it is in the third quadrant, both sine and cosine are negative.
Thus, the sine and cosine values for $ \frac{5\pi}{4} $ are:
$ \sin(\frac{5\pi}{4}) = -\frac{\sqrt{2}}{2} $
$ \cos(\frac{5\pi}{4}) = -\frac{\sqrt{2}}{2} $
Answer 2
Henry Green
For the angle $ frac{5pi}{4} $, note it is in the third quadrant on the unit circle.
The reference angle is $ frac{pi}{4} $ with sine and cosine values of $ frac{sqrt{2}}{2} $.
In the third quadrant, both sine and cosine are negative.
Therefore,
$ sin(frac{5pi}{4}) = -frac{sqrt{2}}{2} $
$ cos(frac{5pi}{4}) = -frac{sqrt{2}}{2} $
Answer 3
Matthew Carter
For $ frac{5pi}{4} $, in the third quadrant:
Sine and cosine are negative.
Reference angle $ frac{pi}{4} $:
$ sin(frac{5pi}{4}) = -frac{sqrt{2}}{2} $
$ cos(frac{5pi}{4}) = -frac{sqrt{2}}{2} $
Start Using PopAi Today