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Answer 1 The equation of the unit circle is given by:$x^2 + y^2 = 1$We are given that the x-coordinate is $\frac{1}{2}$. Substituting $x = \frac{1}{2}$ into the equation:$\left(\frac{1}{2}\right)^2 + y^2 = 1$$\frac{1}{4} + y^2 = 1$Subtract...
Answer 1 To determine the coordinates of a point on the unit circle for a given angle $\theta$, we use the fact that the unit circle has a radius of 1 and the coordinates can be expressed as $(\cos(\theta), \sin(\theta))$. Let's find the coordinates...