- #1
Serious Max
- 37
- 1
Homework Statement
Homework Equations
[tex]y=30\sin(\dfrac{2\pi}{20}t)+270[/tex]
General principal solutions:
[tex]t=\left(\dfrac{\arcsin(\dfrac{1}{3}) 20}{2\pi}\right)+20k, k\in \mathbb{Z}[/tex]
[tex]t=1.08173+20k[/tex]General symmetry solutions:
[tex]t=\left(-\dfrac{(\arcsin(\dfrac{1}{3})-\pi)20}{2\pi}\right)+20k, k\in \mathbb{Z}[/tex]
[tex]t=8.91827+20k[/tex]
The Attempt at a Solution
What I did was I divived 30 by the difference between these two values of time to find how many such segments I need to accumulate 30 min of 280 degrees:
[tex]\dfrac{30}{8.91827-1.08173}=3.828[/tex]
And then I can find the answer with a bunch of manual work, involving referring to the graph, but I just feel like this is a very ineffective approach.
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