SOLUTION: Please help me solve this periodic functions question : 1. Write an equation for the following graph in the form y= asin kx a) with a= 1/2, p= 3∏/2 ( ∏=pi) (1/2, 3&

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: Please help me solve this periodic functions question : 1. Write an equation for the following graph in the form y= asin kx a) with a= 1/2, p= 3∏/2 ( ∏=pi) (1/2, 3&      Log On

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Question 203983: Please help me solve this periodic functions question : 1. Write an equation for the following graph in the form y= asin kx
a) with a= 1/2, p= 3∏/2
( ∏=pi) (1/2, 3∏/2 are fractions)
Answer by jsmallt9(2063) About Me  (Show Source):
You can put this solution on YOUR website!
You're given the "a" to use. You only need to figure out the relationship between "k" and "p". The relationship is:
k+=+p%2F%282pi%29
Substituting your "p" (period) into this we get:
k+=+%28%283pi%29%2F2%29%2F%282pi%29+=+%28%283pi%29%2F2%29%2A+%281%2F%282pi%29%29+=+3%2F4
So your equation is:
y+=+%281%2F2%29sin%28%283%2F4%29x%29