Question

if the point P(x,2/3) is on the unit circle and P is in the 2nd quadrant, what is x equal to?

Answer 1

now you are in the second quadrant, so what is the sign of the first coordinate?

Answer 2

negative

Answer 3

ok good because you are two the left

Answer 4

since you are on the unit circle, like last time you know that
\[x^2+\left(\frac{2}{3}\right)^2=1\]

Answer 5

with a little practice you can go right to
\[x=\sqrt{1-\left(\frac{2}{3}\right)^2}\]

Answer 6

unlike the last time, you will have a radical in your answer
let me know what you get

Answer 7

so x would equal either √(5)/3, or -√(5)/3 ?

Answer 8

exactly
and of course you know which one to pick right?

Answer 9

the negative, correct?

Answer 10

yes

Answer 11

great! thanks so much :) you really helped a lot with this

Answer 12

yw

Answer 13

you did all the work anyway