Math Problem Statement
Determine the amplitude of the function
y equals five sixths sine xy=56sinx.
Graph the function and
y equals sine xy=sinx.
Question content area bottom left
Part 1
The amplitude is
enter your response here.
(Simplify your answer.)
Solution
The amplitude of a sine function is the absolute value of the coefficient in front of the sine term. In the function , the coefficient of is .
Thus, the amplitude is:
So, the amplitude is .
Would you like me to graph both and for comparison?
Here are five related questions to expand on this:
- How does the amplitude of a sine function affect its graph?
- What is the period of the function ?
- How would you find the phase shift of a sine function?
- What would the amplitude be if the function were ?
- How does the amplitude of compare to that of ?
Tip: When graphing trigonometric functions, remember that the amplitude only affects the vertical stretch or compression of the graph!
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Sine Function
Amplitude
Formulas
Amplitude = |A|, where A is the coefficient in y = A * sin(x)
Theorems
-
Suitable Grade Level
Grades 9-11
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