In this worksheet, we will practice determining the domain and range of a trigonometric function.
Q1:
Find the domain of the function 𝑓(𝜃)=5(𝜃)+4sin.
Q2:
Find the range of the function 𝑓(𝜃)=87𝜃sin.
Q3:
Consider the function 𝑓(𝑥)=4(7𝑥+𝜋)+5cos.
What is the domain of 𝑓(𝑥)?
What is the range of 𝑓(𝑥)?
Q4:
Find the range of the function 𝑓(𝜃)=3(𝜃)+4sin.
Q5:
Consider the following graph of 𝑓(𝜃).
What is the domain of 𝑓(𝜃)?
What is the range of 𝑓(𝜃)?
Q6:
The following graph shows the function 𝑓(𝜃). Assume the function has a period of 2𝜋.
Q7:
Is the following statement possible or impossible?
sin𝜃=1.2.
Q8:
The range of the function 𝑓(𝜃)=𝑎(2𝜃)sin is [−5,5]. Find the value of 𝑎, where 𝑎>0.
Q9:
The range of the function 𝑓(𝜃)=𝑎3𝜃cos is −54,54. Find the value of 𝑎 where 𝑎>0.
Q10:
Find the values of 𝜃 in radians such that the function 𝑓(𝜃)=(3𝜃)tan is undefined.
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