Find the coordinates of the point on the unit circle at $frac{3pi}{4}$ radians

The unit circle has a radius of 1 and can be represented by the equation:

$ x^2 + y^2 = 1 $

At an angle of $\frac{3\pi}{4}$ radians, the coordinates can be determined using the sine and cosine functions:

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

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

Therefore, the coordinates are:

$ \left( -\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) $

For the unit circle at $frac{3pi}{4}$ radians,

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

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

So, the coordinates are:

$ left( -frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $

At $frac{3pi}{4}$ radians, the coordinates are:

$ left( -frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $

Start Using PopAi Today