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Concept explainers
To calculate: Theexact value of the six trigonometric functions of the angle
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Answer to Problem 1CT
Solution:
The exact values of six trigonometric functions are
Explanation of Solution
Given Information:
The figure
Formula used:
Ratios of the sides of a right triangle:
Pythagorean Theorem: In a right angle triangle, the square of the length of the hypotenuse is the sum of the squares of the other two sides.
Calculation:
In the given triangle, the length of the opposite side is
By using Pythagorean Theorem
Thus, the length of the hypotenuse is
Now, by using ratios of the sides of the right triangle,
Thus, the exact values of six trigonometric functions are
Chapter 8 Solutions
Precalculus Enhanced with Graphing Utilities
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