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Example Questions
Example Question #1 : How To Find The Period Of The Sine
What is the period of 2sin(4Θ)?
None of the answers are correct
The period of sinΘ is 2Π, so we set the new angle equal to the base period of 2Π and solve for Θ.
So 4Θ = 2Π and Θ = Π/2.
Example Question #2 : How To Find The Period Of The Sine
A function with period P will repeat on intervals of length P, and these intervals are referred to as periods.
Find the period of
.
For the function
the period is equal to
in this case
which reduces to .
Example Question #3 : How To Find The Period Of The Sine
A function with period P will repeat on intervals of length P, and these intervals are referred to as periods.
Find the period of the function
.
For the function
the period is equal to
in this case
which reduces to .
Example Question #4 : How To Find The Period Of The Sine
What is the period of the function ?
To find the period of Sine and Cosine functions you use the formula:
where comes from . Looking at our formula you see b is 4 so
Example Question #4 : Sine
What is the period of the given trigonometric function:
. Leave your answer in terms of , simplify all fractions.
To find the period of a sine, cosine, cosecant, or secant funciton use the formula:
where comes from the general formula: . We see that for our equation and so the period is when you reduce the fraction.
Example Question #1 : How To Find The Period Of The Sine
Find the period of the following formula:
To find period, simply remember the following formula:
where B is the coefficient in front of x. Thus,
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