18.03 Lecture Notes - Lecture 31: Angular Frequency, Linear Combination, Complex Differential Form
Document Summary
Represent the sum of sine and cosine with the same frequency as a generalized sinusoidal function. Describe and draw sinusoidal functions in terms of amplitude and phase angles. Write the equation for a sinusoidal function from a graph. Writing e and e as linear combinations of cost and sint, and vice versa. Start with the curve y = cosx, then. Shift the graph units to the right ( is the phase lag, measured in radians) Compress the result horizontally by dividing by a scale factor ( is angular frequency, measured in radians/second) Amplify (stretch vertically) by a factor of a (amplitude) According to the instructions, each point (x, y) on y = cosx is related to a point (t, f(t)) on the graph. Alternatively, the graph of f(t) can be described geometrically in terms of. A its amplitude, how high the graph rises about the t-axis at its maximum.
