Lesson Worksheet: Amplitude and Period of Trigonometric Functions Mathematics • 10th Grade

In this worksheet, we will practice finding the amplitude and the period of sine, cosine, and tangent functions.

Q1:

Determine the amplitude and the period of the shown function.

  • Aamplitude =3, period =1
  • Bamplitude =3, period =2
  • Camplitude =6, period =1
  • Damplitude =6, period =3
  • Eamplitude =βˆ’3, period =2

Q2:

What is the period of 𝑓(π‘₯)=2ο€Όπ‘₯+πœ‹3sin?

  • A6πœ‹
  • B5πœ‹
  • Cπœ‹3
  • D2πœ‹
  • E3πœ‹

Q3:

What is the period of 𝑓(π‘₯)=2π‘₯cos?

  • A2πœ‹
  • Bπœ‹3
  • Cπœ‹2
  • Dπœ‹4
  • Eπœ‹

Q4:

What is the period of 𝑓(π‘₯)=233π‘₯4cos?

  • A8πœ‹
  • B2πœ‹3
  • C2πœ‹
  • D3πœ‹4
  • E8πœ‹3

Q5:

Find the period of the function 𝑓(πœƒ)=114πœƒsin.

  • A2πœ‹
  • B11πœ‹2
  • Cπœ‹2
  • D2πœ‹11

Q6:

What is the period of the function 𝑓(π‘₯)=π‘Ž(𝑏π‘₯βˆ’π‘)+π‘˜cos?

  • Aπ‘Ž
  • B𝑏
  • C𝑏2πœ‹
  • D2πœ‹π‘
  • E𝑐

Q7:

What is the period of 𝑓(π‘₯)=3ο€Ό2π‘₯βˆ’πœ‹5tan?

  • A3πœ‹
  • B5πœ‹2
  • C2πœ‹5
  • Dπœ‹5
  • E6πœ‹

Q8:

What is the period of the function 𝑓(π‘₯)=π‘₯sin?

  • Aπœ‹3
  • Bπœ‹
  • Cπœ‹2
  • D3πœ‹
  • E2πœ‹

Q9:

What is the period of the function 𝑓(π‘₯)=π‘₯cos?

  • A3πœ‹
  • Bπœ‹2
  • Cπœ‹3
  • Dπœ‹
  • E2πœ‹

Q10:

What is the amplitude of 𝑓(π‘₯)=π‘₯sin?

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