assume the point is on the unit circle

Question

Assume the point (x,−2225) is on the unit circle in the fourth quadrant.

x= 

Answer 1

I assume you just forgot to type the decimal and the point we are talking about is (0, -.2225).

Use the Pythagorean Theorm to find x.

x^2 + y^2 = r^2

x^2 + (-.2225)^2 = 1^2

x^2 + .04950625 = 1

x^2 = .95049375

x = .9749 rounded

We take the positive since x is in the 4th quadrant.

The point is (.9749, -.2225)

Answer 2

In the 1st and 4th Quadrants for the Unit Circle, ALL X-Values Are > 0. This means that there can only be [+] values for X in both the 1st and 4th Unit Circle Quadrants. Therefore, the domain for x under this circumstance is all real positive numbers.