Question

graphicaly show the following sinusoidal waves and their combination when added together graphicaly show the following sinusoidal waves and their combination when added together V1= 4sin(50πt+2π/5) V2= 3sin(50πt+2π/9) plot the graph over t=0 to t=0.2

Answer 1

Answer on Question #64606 – Math – Trigonometry

Question

Graphically show the following sinusoidal waves and their combination when added together:

$$V1 = 4 \sin (50\pi t + 2\pi/5), \quad V2 = 3 \sin (50\pi t + 2\pi/9).$$

Plot the graph over $t=0$ to $t=0.2$.

Solution

$$v1 = 4 \sin \left(50\pi t + \frac{2\pi}{5}\right)$$

Fig. 1 Plot of $v1 = 4 \sin \left(50\pi t + \frac{2\pi}{5}\right)$

$\nu 2 = 3 \sin \left(50 \pi + \frac{2 \pi}{9}\right)$

Fig. 2 Plot of $\nu 2 = 3\sin \left(50\pi +\frac{2\pi}{9}\right)$

$\nu = 4 \sin \left(50 \pi + \frac{2 \pi}{5}\right) + 3 \sin \left(50 \pi + \frac{2 \pi}{9}\right)$

Fig. 3 Plot of $\nu = 4\sin \left(50\pi +\frac{2\pi}{5}\right) + 3\sin \left(50\pi +\frac{2\pi}{9}\right)$

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