Worksheet: Amplitude and Period of Trigonometric Functions
In this worksheet, we will practice finding the amplitude and the period of sine, cosine, and tangent functions.
Q5:
Find the period of the function .
- A
- B
- C
- D
Q6:
What is the period of the function ?
- A
- B
- C
- D
- E
Q9:
Simplify .
- A
- B
- C
- D
Q10:
What is the amplitude of the function ?
- A
- B
- C
- D
- E
Q11:
A function has a period . Among the following statements, which one is NOT necessarily true?
- A
- B
- C
- D
Q12:
What is the maximum value of the function ?
- A
- B
- C
- D
- E
Q13:
Let . What is the smallest positive value of for which holds?
- A
- B
- C
- D
- E
Q14:
Since for every number , we can conclude that .
- AThe period of the sine function is a divisor of .
- BThe period of the sine function is .
- CThe period of the function is 1.
- DThe period of the sine function is .
- ESine is an even function.
Q15:
What is the period of the function ?
- A
- B
- C
- D
- E
Q16:
What is the amplitude of ?
- A14
- B5
- C12
- D
- E
Q17:
has period and has period . What is the period of their sum ?
- A
- B
- C
- D and
- E
Q18:
Consider the function .
Determine the amplitude.
- Aamplitude
- Bamplitude
- Camplitude
- Damplitude
- Eamplitude
Determine the period.
- Aperiod
- Bperiod
- Cperiod
- Dperiod
- Eperiod
Q19:
What is the period of the function ?
- A
- B
- C
- D
- E
Q20:
What is the period of the function ?
- A
- B
- C
- D
- E
Q21:
What is the amplitude of the function ?
Q22:
What is the amplitude of ?
Q23:
What is the frequency of the function ?
- A
- B
- C
- D
- E
Q24:
A point is traveling on a unit circle at a speed of one complete rotation per second.
If its position represents an angle at a time , when will it have the same position again?
- Aone and a half seconds later
- Bone-third of a second later
- Cone second later
- Dhalf a second later
- Etwo seconds later
How would you express the angle representing its position at this time?
- A
- B
- C
- D
- E
Deduce what the period of the cosine and sine functions is.
- A
- B
- C
- D
- E
Q25:
What is the maximum value of ?