SOLUTION: Find the period, amplitude, and phase shift of the function y= 5sin(3θ+π/2).

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Question 1066361: Find the period, amplitude, and phase shift of the function y= 5sin(3θ+π/2).
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Since the sine varies from 1 to -1, the
amplitude is +5%2A1+=+5+
The period of the sine is +2%2Api+ radians
+3%2Atheta+=+2%2Api+
+theta+=+%28+2%2Api+%29%2F3+ is the period of the function
The phase shift is +pi%2F2+ radians
---------------------------------
Here's the plot:
+graph%28+400%2C+200%2C+-1%2C+6%2C+-6%2C+6%2C+5%2Asin%28+3x+%2B+pi%2F2+%29%29+
Notice the sine is shifted left by +pi%2F2+