Find the exact values of the coordinates of the point where the unit circle intersects the positive $x$-axis
Answer 1
Charlotte Davis
The unit circle is defined by the equation:
$ x^2 + y^2 = 1 $
The positive x-axis means $ y = 0 $. Substituting $ y = 0 $ into the equation gives:
$ x^2 + 0^2 = 1 $
Simplifying, we find:
$ x^2 = 1 $
Taking the positive square root (since we are on the positive x-axis), we get:
$ x = 1 $
Thus, the coordinates of the point are:
$ (1, 0) $
Answer 2
Ella Lewis
The unit circle is described by the equation:
$ x^2 + y^2 = 1 $
On the positive x-axis, $ y = 0 $. Substituting and solving for $ x $:
$ x^2 = 1 $
Thus, $ x = 1 $ because we are considering the positive x-axis.
The coordinates are:
$ (1, 0) $
Answer 3
Michael Moore
The unit circle intersects the positive x-axis at:
$ (1, 0) $
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