SOLUTION: The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is 7 25 , and the y-coordinate is negative

Algebra ->  Trigonometry-basics -> SOLUTION: The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is 7 25 , and the y-coordinate is negative      Log On


   

Question 1203681: The point P is on the unit circle. Find
P(x, y)
from the given information.
The x-coordinate of P is
7
25
,
and the y-coordinate is negative
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The point P is on the unit circle.
Find P(x, y) from the given information.

The x-coordinate of P+is 7%2F25, and the y-coordinate is negative
so far P(7%2F25, -y)

the unit circle=> r=1 and center is at origin
so, the formula for unit circle is
x%5E2+%2B+y%5E2=1....substitute+x
%287%2F25%29%5E2+%2B+y%5E2=1
y%5E2=1-%287%2F25%29%5E2+
y%5E2=1-49%2F625
y%5E2=576%2F625
y=sqrt%28576%2F625%29
solutions:
y=24%2F25
or
y=-24%2F25

since the y-coordinate is negative, point is at
P%287%2F25%2C-24%2F25%29