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 July 16th, 2019, 04:58 PM #1 Newbie   Joined: Jul 2019 From: baguio Posts: 2 Thanks: 0 trig question how to solve problems like this? pi = Φ - sin(Φ)
 July 16th, 2019, 05:38 PM #2 Senior Member   Joined: Jun 2019 From: USA Posts: 120 Thanks: 40 In this case, it helps to simplify a little bit. $\displaystyle \Phi - \pi = \sin(\Phi)$ Phase shift identity $\displaystyle \sin(\phi-\pi) = -\sin(\phi)$ Let $\displaystyle x = \Phi - \pi$, then $\displaystyle x = -\sin(x)$ Plot y = x and y = -\sin(x), and you can easily convince yourself they only intersect at x = 0 $\displaystyle \rightarrow \Phi = \pi$ I would consider that the "smart way," but it requires some thinking and an "aha" moment. If you can't find your "aha" moment, try putting the equation in the form f(x) = 0, plot f(x), and see where it crosses the x-axis. This will give you an approximate answer, and maybe some clues as to how to find the exact answer(s). Last edited by skipjack; July 17th, 2019 at 10:57 AM.

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