Find the cosine of the angle at $ frac{3π}{4} $ radians on the unit circle

The unit circle helps us find the cosine of an angle. For an angle of $ \frac{3π}{4} $ radians:

The reference angle is $ \x0crac{π}{4} $, and in the second quadrant, the cosine is negative.

So, $ \cos(\frac{3π}{4}) = -\cos(\frac{π}{4}) $

We know that $ \cos(\frac{π}{4}) = \frac{\sqrt{2}}{2} $

Therefore, $ \cos(\frac{3π}{4}) = -\frac{\sqrt{2}}{2} $

Let

To find the cosine of $ frac{3π}{4} $ radians:

Since $ frac{3π}{4} $ is in the second quadrant:

$ cos(frac{3π}{4}) = -frac{sqrt{2}}{2} $

Start Using PopAi Today