Question

If the point (x,square root 3/3) is on the unit circle, what. is x? A) 2/3

B) square root(6)/3
C) 4/9
D) square root(2)/3

Answer 1

If the point is on the unit circle:
x² + (√3/3 )² = 1²
x² + 3/9 = 1
x² + 1/3 = 1
x² = 1 - 1/3
x² = 2/3 / √
x = √2/√3 · √3/√3 = √6 / 3
Answer: A ) square root (6) / 3