Sinusoidal Function Equations 1
This short problem solution video explains how to find the equation of a sinusoidal function. The "Bias" or axis is given as y=5 and the coordinates of two sequential minimums are given.
Rather than trying to match numbers to letters in a standard equation form I attempt to solve this by relating it to translations and stretching in the plane. I also explain that there are multiple solutions (infinite actually). The x shift (or phase) can be + or 1, any multiple of the wavelength can be added to the phase, and a cosine can be used rather than a sine.
Minor errata: At 7:35 I write the final equation on paper and I left the -5 on the left off intending to add +5 on the right but did not do so. Everything in Desmos is correct but the y= equation on paper needs a +5 on the right side.
Also at 10:20 there is a bit of confusion when putting the phase into the cosine version. This arose because the slider for phi was not reset to zero and still had a value from the sin equation in it.
A link to the Desmos page I used will be added to the listing on my academic and tutoring website:
https://jamesfrankenfield.com under Academic/Tutoring Library - Videos; if you have problems finding that or questions about the video you can post a comment here or use the Contact page on my website.
00:00 Introduction/Overview
01:04 Review Using a Parabola
02:30 Main Problem - sin function
08:10 Phase Shift Variations
10:00 Using cos rather than sin
10:56 Summary of the Multiple Answers
11:48 Wrap-Up
On this page of the site you can watch the video online Sinusoidal Function Equations 1 with a duration of hours minute second in good quality, which was uploaded by the user Jim Frankenfield: Academic - Tutoring and Teaching 18 May 2022, share the link with friends and acquaintances, this video has already been watched 45 times on youtube and it was liked by 0 viewers. Enjoy your viewing!
