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Questions and Answers
What is the amplitude of the sine and cosine functions given their peaks and troughs?
What is the amplitude of the sine and cosine functions given their peaks and troughs?
What is the period of the tangent function?
What is the period of the tangent function?
How does the cosecant function relate to the sine function?
How does the cosecant function relate to the sine function?
What indicates a phase shift in a trigonometric function?
What indicates a phase shift in a trigonometric function?
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What value defines the asymptotes for the base tangent function?
What value defines the asymptotes for the base tangent function?
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What is the peak value of the secant function?
What is the peak value of the secant function?
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For sine and cosine functions, what is the relationship between their periods?
For sine and cosine functions, what is the relationship between their periods?
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How does shifting a sine function to the left affect its phase shift?
How does shifting a sine function to the left affect its phase shift?
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How would you determine the amplitude of a sinusoidal function given by the equation $y = 3 \sin(2\theta) + 1$?
How would you determine the amplitude of a sinusoidal function given by the equation $y = 3 \sin(2\theta) + 1$?
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What is the period of the function $y = \cos(5\theta)$?
What is the period of the function $y = \cos(5\theta)$?
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Which of the following statements accurately describes the relationship between sine and cosine functions?
Which of the following statements accurately describes the relationship between sine and cosine functions?
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Given the function $f(\theta) = -2\sin(\theta + \frac{\pi}{3})$, what is the phase shift?
Given the function $f(\theta) = -2\sin(\theta + \frac{\pi}{3})$, what is the phase shift?
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How can you describe the effect of the negative sign in front of the sine function in the equation $y = -\sin(\theta)$?
How can you describe the effect of the negative sign in front of the sine function in the equation $y = -\sin(\theta)$?
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What is the domain of the function $y = \tan(\theta)$?
What is the domain of the function $y = \tan(\theta)$?
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Which transformation correctly describes the function $y = \sin(\theta) + 2$?
Which transformation correctly describes the function $y = \sin(\theta) + 2$?
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If the function $y = 4\cos(3\theta)$ is graphed, what is the maximum value attained by the function?
If the function $y = 4\cos(3\theta)$ is graphed, what is the maximum value attained by the function?
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How is the amplitude of a sine or cosine function determined?
How is the amplitude of a sine or cosine function determined?
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What is the period of the base sine and cosine functions?
What is the period of the base sine and cosine functions?
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In relation to each other, how can sine and cosine functions be defined?
In relation to each other, how can sine and cosine functions be defined?
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What does a phase shift in trigonometric functions represent?
What does a phase shift in trigonometric functions represent?
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What will the graph of a negative sine function look like compared to its positive counterpart?
What will the graph of a negative sine function look like compared to its positive counterpart?
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In the context of trigonometric functions, what does the term 'cycle' refer to?
In the context of trigonometric functions, what does the term 'cycle' refer to?
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Which statement is true regarding the range of sinusoidal functions?
Which statement is true regarding the range of sinusoidal functions?
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What is the effect of shifting a trigonometric function upward by a constant value?
What is the effect of shifting a trigonometric function upward by a constant value?
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