3. Use the math handbook page, located in the Appendix (~p89), to determine the first five frequencies of the series and their amplitude coefficients for the two waveforms shown below. Modify the equations to show w (which requires that you relate period to frequency) so you can clearly identify the 1w, 2w, 3w, 4w and 5w terms. Also modify the equations to yield a waveform with an amplitude of A=0.5. Figure III-1a. Square Waveform. Figure III-1b. Triangular Waveform. f(x) + 1- 0- f(x) 4 0- f(x). 1- 0- -14 1004 1- 0- f(x) 1- -14 f(x) 1- f(x)=4 1 nxx -sin -1,3,511 L 2LX f(x)=(-1)* nc cos 10-1 n L -1) sin nxxx L 2LX f(x)=+(-)" nx sin cos- n-l n L L 3L/2 2L X f(x)=sin n sin(+nc/L), 2 nc/L 117DX sin L 2LX f(x)=(-1) n -sin L 0 f(x) 1- 0- 1/4 F(x)=2 8 f(x) = 3 -1,3,5 n -cos (-1)(-1)/2 n n-1,3,5... L sin( -14 f(x) 0- 1 2 f(x)=sin 1 1 n7x L nxx Figure Thry_B-3. Typical Math Handbook Page. (Printed by permission of CRC) 89