Question

The point P is on the unit circle. Find P(x, y)The y-coordinate of P is -1/5 and the x-coordinate is positive. from the given information.

Answer 1

Any point on the unit circle satisfies the constraint
\[x^2+y^2 = r^2\] where \(r = 1\)
or\[x^2+y^2=1\]

If you know \(y = -\dfrac{1}{5}\) then
\[x^2 + (-\frac{1}{5})^2 = 1\]Can you solve that for \(x\)? You'll take the positive solution, as you've been told the x-coordinate is positive.