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How to find the phase shift given a coordinate (sinusoidal function)?
In the equation y = sin(x - p), i need to find p given the coordinate (pi/6 , 0). I know to sub in the x and y, i'm just not sure how to solve for p. Do i expand the bracket or something? Thanks for your time.
2 Answers
- Anonymous8 years agoFavorite Answer
If you use a scientific calculator, plug in the values for x and y, then take what is called the arcsine or inverse sine of both sides (on calculators this is shown by sin^-1), then solve for p.
For this problem
0 = sin(pi/6 - p)
arcsin(0) = pi/6 - p
arcsin(0) = 0 = pi/6 - p
p = pi/6
If you don't have a calculator probably the best way to do this is to memorize a few values of sine/cosine