Trigonometry : Setting Up Trigonometric Equations
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Example Questions
Example Question #11 : Setting Up Trigonometric Equations
Which of these functions fulfills these criteria?
- Amplitude of
- Period of
-
-intercept of
- No phase shift
- Minimum of
Combining a good deal of our information - an amplitude of 
We also know that 
Example Question #172 : Trigonometry
Which of these functions includes the following points?
Judging from those five given points, we can draw the following clues:
- Amplitude of
- Period of
Also, note that none of the answer choices have a phase shift, meaning that you can instantly start looking for a sine function because of the zero-rise-zero-fall-zero period that is marked by those five points. Furthermore, we can also realize that we are looking for...
...because we need a period of 4 - i.e,
Example Question #173 : Trigonometry
A sine function 
- Amplitude of
- Minimum of
- No phase shift
- Frequency of
Hz (cycles per second)
One important thing to realize is that the frequency is the reciprocal of the period. So if the function has a frequency of 
Also, because we have an amplitude of 
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