SOLUTION: Identify the period. y = 100 sin [π/9 (t + 4)] Select one: a. π/22 b. 11 c. 22 d. 22π

Algebra ->  Test -> SOLUTION: Identify the period. y = 100 sin [π/9 (t + 4)] Select one: a. π/22 b. 11 c. 22 d. 22π      Log On


   

Question 1093717: Identify the period.
y = 100 sin [π/9 (t + 4)]
Select one:
a. π/22
b. 11
c. 22
d. 22π
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!

The general form for a sine of cosine function is

a%2Asin%28b%28x-c%29%29%2Bd

In that form...
a is the amplitude;
b determines the period; (the period is (2pi)/b)
c is the horizontal shift; and
d is the vertical shift.

With your function, the period would be
2pi%2F%28pi%2F9%29+=+18

That is not any of the given answer choices....

Since all of the answer choices involve the number 11 or 22, I suspect the given function is supposed to have b equal to (pi/11) instead of (pi/9). In that case, the period would be
2pi%2F%28pi%2F11%29+=+22

answer choice C