Period Focus (Sine, Cosine, Tangent, Cotangent)

  • 12th Grade
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Cierra Henderson, MBA |
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Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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Quizzes Created: 8157 | Total Attempts: 9,569,759
| Questions: 20 | Updated: Jan 19, 2026
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1) What is the period of y = sin(4x)?
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About This Quiz
Period Focus (Sine, Cosine, Tangent, Cotangent) - Quiz

How often does a trig curve repeat itself? That’s what the period tells us. In this quiz, you’ll explore how coefficients inside the function stretch or squeeze the graph along the x-axis. You’ll figure out whether a function loops back after πππ, 2π2π2π, or something in between. Take this quiz... see moreto sharpen your ability to calculate and recognize periods across sine, cosine, tangent, and cotangent.
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2) What is the period of y = cos(5x)?
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3) What is the period of y = tan(2x)?
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4) What is the period of y = cot(3x)?
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5) What is the period of y = sec(x/2)?
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6) What is the period of y = csc(7x)?
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7) What is the period of y = sin(x/3)?
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8) What is the period of y = cos(2x)?
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9) What is the period of y = tan(x/4)?
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10) What is the period of y = cot(5x)?
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11) What is the period of y = sec(3x)?
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12) What is the period of y = csc(x/6)?
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13) What is the period of y = sin(6x)?
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14) What is the period of y = cos(x/4)?
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15) What is the period of y = tan(7x)?
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16) What is the period of y = cot(2x)?
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17) What is the period of y = sec(x/5)?
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18) What is the period of y = csc(4x)?
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19) What is the period of y = sin(x/8)?
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20) What is the period of y = cos(9x)?
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Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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What is the period of y = sin(4x)?
What is the period of y = cos(5x)?
What is the period of y = tan(2x)?
What is the period of y = cot(3x)?
What is the period of y = sec(x/2)?
What is the period of y = csc(7x)?
What is the period of y = sin(x/3)?
What is the period of y = cos(2x)?
What is the period of y = tan(x/4)?
What is the period of y = cot(5x)?
What is the period of y = sec(3x)?
What is the period of y = csc(x/6)?
What is the period of y = sin(6x)?
What is the period of y = cos(x/4)?
What is the period of y = tan(7x)?
What is the period of y = cot(2x)?
What is the period of y = sec(x/5)?
What is the period of y = csc(4x)?
What is the period of y = sin(x/8)?
What is the period of y = cos(9x)?
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