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 June 12th, 2018, 11:07 PM #1 Newbie   Joined: Jun 2018 From: State of Minas Gerais - Brasil Posts: 1 Thanks: 0 How to find the value at a certain angle of the sinusoid? Good night sir, I have two sinusoidal functions whose sinusoidal maximum value is = 20 and the sinusoidal minimum = -20, we know that the maximum point the angle of the sinusoid = 90 ° or π / 2 in radians and corresponds to the value 20 I need to know an equation in which the second (red) signal switches will be valid, I know the angle is 150 ° and the corresponding value will be 10.30 (given by the software) but I want to know an equation for me to reach that value All I need to know, to be clearer is an equation where I will find the value in the blue sine when the red signal switches, I know that the angle at which it switches is 150 ° or 5π / 6 in radians. What is the equation for me to reach the value 10.30 that the red signal switches. Thanks to anyone who can help. June 18th, 2018, 04:49 AM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 From your graph, it looks like your "sinusoid" has a minimum of -20, a maximum of +20, a period of 0.02, and f(0) = 0. From that information, $\displaystyle f(x)= 20\sin\left(\frac{2\pi}{0.02}x\right)$. If I understand this correctly, the "red signal switches" at the point where there is a vertical red line. That line has $\displaystyle y= f(x)= 20\sin\left(\frac{2\pi}{0.02}x\right)= 10.03$. Solving that, we have $\displaystyle \sin\left(\frac{2\pi}{0.02}x\right)= 0.5015$, so that $\displaystyle \frac{2\pi}{0.02}x= 0.5253$. $\displaystyle x= \frac{0.5253(0.02)}{2\pi}= \frac{0.0105}{6.283}= 0.00167$. Last edited by skipjack; June 18th, 2018 at 08:16 AM. Tags angle, find, sinusoid 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 floridaboylol Pre-Calculus 2 April 20th, 2014 04:24 AM floridaboylol Algebra 3 April 19th, 2014 12:37 PM suzuki Real Analysis 0 April 30th, 2012 08:49 PM reaper Algebra 2 March 12th, 2012 07:35 PM zgonda Algebra 9 August 22nd, 2010 05:48 PM

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