$\"\"$

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The period of the cot function is $\"\"$ .

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The phase shift of the cot function is $\"\"$ .

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The vertical shift of the cot function is $\"\"$ .

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The general form of cot function is $\"\"$ .

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Where amplitude is $\"\"$ , period is $\"\"$ and phaseshift is $\"\"$ and vertical shift is $\"\"$ .

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Period of the cot function $\"\"$ .

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$\"\"$

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$\"\"$

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Phase shift of the cot function is $\"\"$

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$\"\"$

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$\"\"$

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The vertical shift of the cot function is $\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$ and $\"\"$ .

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$\"\"$ and $\"\"$ for $\"\"$ .

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$\"\"$

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$\"\"$ and $\"\"$ for $\"\"$ .