
(a)
The definition of unit circle.
(a)

Answer to Problem 1E
The unit circle is the circle centered at origin with radius
Explanation of Solution
The unit circle is a circle centered at origin in the
The equation of unit circle is,
Therefore, correct answers are origin and
(b)
The equation of a unit circle.
(b)

Answer to Problem 1E
The equation of unit circle is
Explanation of Solution
The general equation of a circle is,
Here,
For unit circle, origin is the center and radius is
Substitute
The equation of unit circle is,
Therefore, the correct answer is
(c) (i)
The missing coordinates of a unit circle.
(c) (i)

Answer to Problem 1E
The missing coordinate is
Explanation of Solution
Given:
The given coordinate is
Conclusion:
Since the point is on unit circle, it must satisfy the equation of unit circle.
The equation of unit circle is,
Substitute
Thus, the missing coordinate is
(ii)
The missing coordinates of a unit circle.
(ii)

Answer to Problem 1E
The missing coordinate is
Explanation of Solution
Given:
The given coordinate is
Calculation:
Since the point is on unit circle, it must satisfy the equation of unit circle.
The equation of unit circle is,
Substitute
Thus, the missing coordinate is
(iii)
The missing coordinates of a unit circle.
(iii)

Answer to Problem 1E
The missing coordinate is
Explanation of Solution
Given:
The given coordinate is
Calculation:
Since the point is on unit circle, it must satisfy the equation of unit circle.
The equation of unit circle is,
Substitute
Thus, the missing coordinate is
(iv)
The missing coordinates of a unit circle.
(iv)

Answer to Problem 1E
The missing coordinate is
Explanation of Solution
Given:
The given coordinate is
Calculation:
Since the point is on unit circle, it must satisfy the equation of unit circle.
The equation of unit circle is,
Substitute
Thus, the missing coordinate is
Chapter 5 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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