Graphs of Trigonometric Functions

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What is the cosecant function, csc x?

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The cosecant function is the reciprocal of the sine function, defined as csc x = 1/sin x. It is undefined where sin x = 0.

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The negative sign indicates that the graph of the sine function is reflected over the x-axis.

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The amplitude of the function is 3, which is the coefficient of the sine function.

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The vertical shift is 2 units upward, as indicated by the +2.

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What is the relationship between the sine and cosine functions?

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