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Given a unit circle, what is the
value for y?
(1/3, y)
y = ?

Given a unit circle, what is the value for y? (1/3, y) y = ?-example-1

1 Answer

6 votes

Answer:


y=+(2√(2) )/(3)\\

Explanation:

In the unit circle we have:


x^(2) +y^(2) =1

In the picture we see that x=1/3.

Using de equation of unit circle:


((1)/(3) )^(2) +y^(2) =1\\\\(1+9y^(2) )/(9)=(9)/(9) \\\\y^(2) =(8)/(9) \\\\\sqrt{y^(2)} =\sqrt{(8)/(9)}\\\\y=+(2√(2) )/(3)

y is positive because y are in the first quadrant of the cartesian plane.

User Aadi
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