Hi, there--
The graph for y = sin(3x) looks like the graph of sin(x), except the period is shorter.
The function is increasing as it passes through the origin (0,0)
Maximum values of the function occur at ( π/6,1), (5π/6,1), (9π/6,1), etc.
The function crosses the x-axis at (2π/6,0), (4π/6,0), (6π/6,0),
(8π/6,0), etc.
Minimum values of the function occur at (3π/6,-1), (7π/6,-1), (11π/6,-1)
You can google "graph y=sin(3x)" to see what it looks like.
You can also graph this on a TI-84 graphing calculator. Set your zoom to [7] ZTrig.
In both cases, the computer estimates the value of π/6.
If this is unclear, or you still have questions, feel free to email me directly.
Mrs.Figgy
math.in.the.vortex@gmail.com
