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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. Tags question, trig Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Gunnar Trigonometry 3 March 21st, 2019 08:33 PM coolguy Trigonometry 2 June 16th, 2015 02:06 PM najaa Trigonometry 36 October 23rd, 2012 01:01 PM funkymunkie00777 Algebra 2 June 2nd, 2009 01:23 PM Bihzad Algebra 1 March 11th, 2009 01:48 PM

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