Question : finding all the points of inflection in a sine curve

Hi

Lets say I wanted to find all of the points of inflection in a sine curve. I am assuming I am going to look for all the points where the second derivative = 0.

My curve has equation y = 5sin(15x + pi)
First derivative = -75cos(15x)
Second derivative = 1125sin(15x)

When is second deriviatve = 0? When sin(15x) = 0 so when 15x = 0 or pi or 2pi so when x = 0, pi/15, 2pi/15 etc

Are there 3 or 4 points of inflection per period? a period is 2pi but is it 0 to 2pi inclusive so there are 4 points of inflection?

thanks

Answer : finding all the points of inflection in a sine curve

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Sudeep