Period of Cosine Functions

  • 11th 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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| Questions: 20 | Updated: Dec 3, 2025
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1) What is the period of y = cos(3x)?

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About This Quiz
Period Of Cosine Functions - Quiz

How do you know how long it takes for a cosine wave to complete one full cycle? This quiz helps you practice identifying the period of different cosine functions. You’ll see equations with coefficients, fractions, and shifts — and test your skills in finding how the cycle changes. Take this... see morequiz to sharpen your understanding of periodic behavior in trigonometry.
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2) What is the period of y = cos(x/3)?

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3) What is the period of y = cos(5x)?

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4) What is the period of y = cos(x - π)?

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5) What is the period of y = cos(x/4)?

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6) What is the period of y = cos(0.5x)?

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7) What is the period of y = cos(3(x + π/6))?

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8) What is the period of y = cos(x/6)?

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9) What is the period of y = cos((3/2)x)?

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10) What is the period of y = cos((x - π)/2)?

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11) What is the period of y = -cos(4x)?

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12) What is the period of y = cos(x/π)?

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13) What is the period of y = cos(7x)?

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14) What is the period of y = cos(x/5)?

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15) What is the period of y = cos(-3x)?

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16) What is the period of y = cos((x + 2π)/3)?

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17) What is the period of y = cos(√2 x)?

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18) What is the period of y = 5cos(x/8)?

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19) What is the period of y = cos((2/3)x)?

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20) What is the period of y = cos(x/2 - π)?

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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 = cos(3x)?
What is the period of y = cos(x/3)?
What is the period of y = cos(5x)?
What is the period of y = cos(x - π)?
What is the period of y = cos(x/4)?
What is the period of y = cos(0.5x)?
What is the period of y = cos(3(x + π/6))?
What is the period of y = cos(x/6)?
What is the period of y = cos((3/2)x)?
What is the period of y = cos((x - π)/2)?
What is the period of y = -cos(4x)?
What is the period of y = cos(x/π)?
What is the period of y = cos(7x)?
What is the period of y = cos(x/5)?
What is the period of y = cos(-3x)?
What is the period of y = cos((x + 2π)/3)?
What is the period of y = cos(√2 x)?
What is the period of y = 5cos(x/8)?
What is the period of y = cos((2/3)x)?
What is the period of y = cos(x/2 - π)?
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