Concept explainers
(a)
To calculate:The exact value of the trigonometric function
(a)
Answer to Problem 9E
The exact value of the trigonometric function
Explanation of Solution
Given Information:
The figure is given as follows.
Formula Used:
Use the formula
Calculation:
From the figure,
Apply the Pythagoras theorem to calculate the hypotenuse of the triangle.
Therefore the value of
Substitute these values in the formula
Therefore, the exact value of
(b)
To calculate:The exact value of the trigonometric function
(b)
Answer to Problem 9E
The exact value of the trigonometric function
Explanation of Solution
Given Information:
The figure is given as follows.
Formula Used:
Use the formula
Calculation:
From the figure,
Apply the Pythagoras theorem to calculate the hypotenuse of the triangle.
Therefore the value of
Substitute these values in the formula
Therefore, the exact value of
(c)
To calculate:The exact value of the trigonometric function
(c)
Answer to Problem 9E
The exact value of the trigonometric function
Explanation of Solution
Given Information:
The figure is given as follows.
Formula Used:
Use the formula
Calculation:
From the figure,
Apply the Pythagoras theorem to calculate the hypotenuse of the triangle.
Therefore the value of
Substitute these values in the formula
Therefore, the exact value of
(d)
To calculate:The exact value of the trigonometric function
(d)
Answer to Problem 9E
The exact value of the trigonometric function
Explanation of Solution
Given Information:
The figure is given as follows.
Formula Used:
Use the formula
Calculation:
From the given figure,
Apply the Pythagoras theorem to calculate the hypotenuse of the triangle.
Therefore the value of
Substitute these values in the formula
Therefore, the exact value of
Substitute the values in the formula
Therefore the exact value of
Substitute both the values in the formula
Therefore the exact value of
(e)
To calculate:The exact value of the trigonometric function
(e)
Answer to Problem 9E
The exact value of the trigonometric function
Explanation of Solution
Given Information:
The figure is given as follows.
Formula Used:
Use the formula
Calculation:
From the above,
Apply the Pythagoras theorem to calculate the hypotenuse of the triangle.
Therefore the value of
Substitute these values in the formula
Therefore, the exact value of
Substitute the value in the formula
Therefore the exact value of
(f)
To calculate:The exact value of the trigonometric function
(f)
Answer to Problem 9E
The exact value of the trigonometric function
Explanation of Solution
Given Information:
The figure is given as follows.
Formula Used:
Use the formula
Calculation:
From the given figure,
Apply the Pythagoras theorem to calculate the hypotenuse of the triangle.
Therefore the value of
Substitute these values in the formula
Therefore, the exact value of
Substitute the value in the formula
Therefore the exact value of
Substitute
Therefore the exact value of
(g)
To calculate:The exact value of the trigonometric function
(g)
Answer to Problem 9E
The exact value of the trigonometric function
Explanation of Solution
Given Information:
The figure is given as follows.
Formula Used:
Use the formula
Calculation:
From the given figure,
Apply the Pythagoras theorem to calculate the hypotenuse of the triangle.
Therefore the value of
Substitute these values in the formula
Therefore, the exact value of
Substitute the values in the formula
Therefore the exact value of
Substitute both the values in the formula
Therefore the exact value of
Substitute this value in the formula
Therefore the exact value of
(h)
To calculate:The exact value of the trigonometric function
(h)
Answer to Problem 9E
The exact value of the trigonometric function
Explanation of Solution
Given Information:
The figure is given as follows.
Formula Used:
Use the formula
Calculation:
From the given figure,
Apply the Pythagoras theorem to calculate the hypotenuse of the triangle.
Therefore the value of
Substitute these values in the formula
Therefore, the exact value of
Substitute the value in the formula
Therefore the exact value of
Substitute this value in the formula
Therefore the exact value of
Chapter 5 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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