MATH SOLVE

4 months ago

Q:
# Anybody know the answer?

Accepted Solution

A:

The equation of the unit circle is

x^2 + y^2 = 1

If x = 5/8, then solving for y

(5/8)^2 + y^2 = 1

y^2 = 1 - 25/64

y^2 = 39/64

y = sqrt(39/64)

We use the positive square root because positive x-coordinate and positive y-coordinate is in the first quadrant.

Therefore the answer to this question is sqrt(39)/8

x^2 + y^2 = 1

If x = 5/8, then solving for y

(5/8)^2 + y^2 = 1

y^2 = 1 - 25/64

y^2 = 39/64

y = sqrt(39/64)

We use the positive square root because positive x-coordinate and positive y-coordinate is in the first quadrant.

Therefore the answer to this question is sqrt(39)/8