Unit 10 Mastery Check

State the coordinates of the maximum and minimum of sin $t$ on $[0,2pi]$.

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State the coordinates of the maximum and minimum of sin $t$ on $[0,2pi]$.

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State the defining idea behind building the sine graph from circular motion in one precise sentence.

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For building the sine graph from circular motion, what condition or domain restriction must remain visible in the solution?

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Write cosine as a shifted sine function.

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Write cosine as a shifted sine function.

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State the defining idea behind building the cosine graph from circular motion in one precise sentence.

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For building the cosine graph from circular motion, what condition or domain restriction must remain visible in the solution?

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A sinusoid has maximum $11$ and minimum $-5$. Find amplitude and midline.

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A sinusoid has maximum $11$ and minimum $-5$. Find amplitude and midline.

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State the defining idea behind amplitude, reflection, and midline in one precise sentence.

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For amplitude, reflection, and midline, what condition or domain restriction must remain visible in the solution?

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Find the period and frequency of$$y=cos(\frac{pi t}{6})$$

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Find the period and frequency of$$y=cos(\frac{pi t}{6})$$

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State the defining idea behind period, frequency, and angular frequency in one precise sentence.

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For period, frequency, and angular frequency, what condition or domain restriction must remain visible in the solution?

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A cosine graph has period $8$ and maximum at $x=3$. Write its inside expression.

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A cosine graph has period $8$ and maximum at $x=3$. Write its inside expression.

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State the defining idea behind phase shift and timing in one precise sentence.

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For phase shift and timing, what condition or domain restriction must remain visible in the solution?

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Write a sinusoid with amplitude $4,$ midline $-1,$ period $6,$ and maximum at $x=2$.

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Write a sinusoid with amplitude $4,$ midline $-1,$ period $6,$ and maximum at $x=2$.

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State the defining idea behind the general sinusoidal function in one precise sentence.

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For the general sinusoidal function, what condition or domain restriction must remain visible in the solution?

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Find the period and vertical asymptotes of$$tan(2x)$$

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Find the period and vertical asymptotes of$$tan(2x)$$

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State the defining idea behind tangent and cotangent graphs in one precise sentence.

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For tangent and cotangent graphs, what condition or domain restriction must remain visible in the solution?

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State the range of $y=3sec x-2$.

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State the range of $y=3sec x-2$.

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State the defining idea behind secant and cosecant graphs in one precise sentence.

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For secant and cosecant graphs, what condition or domain restriction must remain visible in the solution?

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Which functions are undefined at integer multiples of pi?

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Which functions are undefined at integer multiples of pi?

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State the defining idea behind symmetry, periodicity, and the six-function family in one precise sentence.

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For symmetry, periodicity, and the six-function family, what condition or domain restriction must remain visible in the solution?

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