Answer 1 On the unit circle, the function $\sin$ represents the y-coordinate of a point on the circle. The unit circle is defined as a circle with a radius of 1, centered at the origin of the coordinate system.First, consider a point on the unit...

Answer 1 We start with the unit circle equation: $x^2 + y^2 = 1$ Substituting $y = x$, we get: $x^2 + x^2 = 1$ $2x^2 = 1$ $x^2 = \frac{1}{2}$ $x = \pm \frac{\sqrt{2}}{2}$ Since $y = x$, the coordinates are: $(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$...