Trigonometry: Graphing Application

1
Trigonometry Graphing Application

• In a certain national park the population of
  rabbits, R, varies sinusoidally as a function of
  time, t, in months according to
  .

• What is the period of this function?

2
Trigonometry Graphing Application

• In a certain national park the population of
  rabbits, R, varies sinusoidally as a function of
  time, t, in months according to
  .

• What is the maximum number of
• rabbits in the park during the year?

3
Trigonometry Graphing Application

• In a certain national park the population of
  rabbits, R, varies sinusoidally as a function of
  time, t, in months according to
  .

• During what month does this
• max occur? Why?

4
Trigonometry Graphing Application

• In a certain national park the population of
  rabbits, R, varies sinusoidally as a function of
  time, t, in months according to
  .

4. What is the minimum number of rabbits in
the park during the year?
5
Trigonometry Graphing Application

• In a certain national park the population of
  rabbits, R, varies sinusoidally as a function of
  time, t, in months according to
  .

5. During what month does this min occur?
Why?
6
Trigonometry Graphing Application

• The voltage, E, for an electrical current is
  given by
  where t is time in seconds.

• What is the amplitude of this
• function? Include units.

7
Trigonometry Graphing Application

• The voltage, E, for an electrical current is
  given by
  where t is time in seconds.

2. What is the period of this function?
Include units.
8
Trigonometry Graphing Application

• The voltage, E, for an electrical current is
  given by
  where t is time in seconds.

3. What is the frequency of this
function? Include units.