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Concept explainers
(a)
The exact value of
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 6CR
Solution:
The exact value of
Explanation of Solution
Given information:
Explanation:
As
The
The equation of circle is
Substitute
Since
Thus,
Therefore,
(b)
The exact value of
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 6CR
Solution:
The exact value of
Explanation of Solution
Given information:
Explanation:
From part(a),
As
Substitute the value
Therefore, the exact value of
(c)
To calculate: The exact value of
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 6CR
Solution:
The exact value of
Explanation of Solution
Given information:
Formula used:
The double angel formula:
Calculation:
From part (a) and part (b),
Substitute these values in the double angle formula
Therefore, the exact value of
(d)
To calculate: The exact value of
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 6CR
Solution:
The exact value of
Explanation of Solution
Given information:
Formula used:
The double angel formula:
Calculation:
By part (a),
Substitute this value in the double angle formula
Therefore,
Thus the exact value of
(e)
To calculate: The exact value of
(e)
![Check Mark](/static/check-mark.png)
Answer to Problem 6CR
Solution:
The exact value of
Explanation of Solution
Given information:
Formula used:
The half angel formula:
Calculation:
From part b),
By using the half angel formula:
As
Divide the inequality by
That is, half angle lies in quadrant
As value of sine function is positive in quadrant
Therefore,
Thus, the exact value of
(f)
To calculate: The exact value of
(f)
![Check Mark](/static/check-mark.png)
Answer to Problem 6CR
Solution:
The exact value of
Explanation of Solution
Given information:
Formula used:
The half angel formula:
Calculation:
From part b),
As
Divide the inequality by
That is, half angle lies in quadrant
As value of cosine function is negative in quadrant
By using the half angel formula:
Therefore,
Thus, the exact value of
Chapter 8 Solutions
Precalculus
Additional Math Textbook Solutions
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