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cutiecomittee123

  • one year ago

which of the following are vertical asymptotes of y=2cot(3x)+4 x=0 x=2pi x=+-pi/2 x=pi/3

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  1. jim_thompson5910
    • one year ago
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    cotangent is defined as cot(x) = cos(x)/sin(x)

  2. jim_thompson5910
    • one year ago
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    so, cot(3x) = cos(3x)/sin(3x)

  3. jim_thompson5910
    • one year ago
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    cot(3x) has vertical asymptotes when sin(3x) = 0 solve sin(3x) = 0 to get your answer

  4. cutiecomittee123
    • one year ago
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    how do I solve that?

  5. cutiecomittee123
    • one year ago
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    and I am confused on how that will help find the asymptotes

  6. jim_thompson5910
    • one year ago
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    well an alternative is to plug in the given choices to see whether they make sin(3x) equal to 0

  7. jim_thompson5910
    • one year ago
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    for example, choice A has x = 0 replace x with 0 to get... sin(3x) = sin(3*0) = sin(0) = 0 so when x = 0, the value of sin(3x) is equal to 0. All of this means x = 0 is a vertical asymptote of cot(3x)

  8. jim_thompson5910
    • one year ago
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    how about x = 2pi? what do you get when you plug that value in for x?

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