8 Odd Half - Range Extension Create the odd function go(t) by flipping fo(t) 180° around the vertical axis and then the 180° around the horizontal axis. Left half of go(t) is shown below. Carefully draw the left half to scale on the right diagram below. go (t) fo (t) 0 +1 Then Create the periodic function g(t) with period 8 NEXT Find expression for coefficients n sin bn. Show that bn has the form: bn To obtain sin COS COS TTTT 4 nπ Add lines to the left side to COMPLETE plot for go(t) plot 4 Сп Dn +4 Cn Dn n n² values for Cn and Dn. Show they repeat. 2 3 5 1 4 = + 8. 6 . Fill the following Table +1 7 8 +4 t
8 Odd Half - Range Extension Create the odd function go(t) by flipping fo(t) 180° around the vertical axis and then the 180° around the horizontal axis. Left half of go(t) is shown below. Carefully draw the left half to scale on the right diagram below. go (t) fo (t) 0 +1 Then Create the periodic function g(t) with period 8 NEXT Find expression for coefficients n sin bn. Show that bn has the form: bn To obtain sin COS COS TTTT 4 nπ Add lines to the left side to COMPLETE plot for go(t) plot 4 Сп Dn +4 Cn Dn n n² values for Cn and Dn. Show they repeat. 2 3 5 1 4 = + 8. 6 . Fill the following Table +1 7 8 +4 t
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 39E
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