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In Problems 37-46, solve each equation. Give a general formula for all the solutions. List six solutions.
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To find: The trigonometric equation by writing the general formula, and to obtain 6 solutions.
Answer to Problem 37AYU
The general formula of .
or , where is any integer.
The solution set for the trigonometric equation .
The six solutions .
Explanation of Solution
Given:
Trigonometric equation .
Calculation:
Trigonometric equation , therefore, is in II and IV quadrants.
The angle for which function has a value of .
Therefore, the graph intersects the graph of at .
The period of .
The general formula of .
or , where is any integer.
For different values of :
1) When
or , where is any integer.
or
or
2) When
or , where is any integer.
or
or
3) When
or , where is any integer.
or
or
4) When
or , where is any integer.
or
5) When
or , where is any integer.
or
or
The solution set for the trigonometric equation .
Chapter 7 Solutions
Precalculus
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Calculus & Its Applications (14th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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