Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant.

Question

P(____, -20/29) quadrant IV

find the first missing number

Answer 1

Since the point lies on the unit circle with radius r = 1, it follows that (x² + (-20/29)²) = 1 **(Using pythagorean theorem)

Therefore, x = (1 - (20/29)²)^(1/2) = (441/841)^(1/2) = (21²/29²)^(1/2) = 21/29. For QIV, x is greater than zero.