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 =3, period =2

Q2:

What is the period of 𝑓(𝑥)=2𝑥+𝜋3sin?

  • A6𝜋
  • B5𝜋
  • C𝜋3
  • D2𝜋
  • E3𝜋

Q3:

What is the period of 𝑓(𝑥)=2𝑥cos?

  • A2𝜋
  • B𝜋3
  • C𝜋2
  • D𝜋4
  • E𝜋

Q4:

What is the period of 𝑓(𝑥)=233𝑥4cos?

  • A8𝜋
  • B2𝜋3
  • C2𝜋
  • D3𝜋4
  • E8𝜋3

Q5:

Find the period of the function 𝑓(𝜃)=114𝜃sin.

  • A2𝜋
  • B11𝜋2
  • C𝜋2
  • D2𝜋11

Q6:

What is the period of the function 𝑓(𝑥)=𝑎(𝑏𝑥𝑐)+𝑘cos?

  • A𝑎
  • B𝑏
  • C𝑏2𝜋
  • D2𝜋𝑏
  • E𝑐

Q7:

What is the period of 𝑓(𝑥)=32𝑥𝜋5tan?

  • A3𝜋
  • B5𝜋2
  • C2𝜋5
  • D𝜋5
  • E6𝜋

Q8:

What is the period of the function 𝑓(𝑥)=𝑥sin?

  • A𝜋3
  • B𝜋
  • C𝜋2
  • D3𝜋
  • E2𝜋

Q9:

What is the period of the function 𝑓(𝑥)=𝑥cos?

  • A3𝜋
  • B𝜋2
  • C𝜋3
  • D𝜋
  • E2𝜋

Q10:

What is the amplitude of 𝑓(𝑥)=𝑥sin?

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