1.Five waveforms moving with equal speeds on the xxx-axis,y1=8sin(ωt+kx),y2=6sin(ωt+kx+π2),y3=4sin(ωt+kx+π),y_1 = 8\sin(\omega t + kx),\quad y_2 = 6\sin\left(\omega t + kx + \dfrac{\pi}{2}\right),\quad y_3 = 4\sin(\omega t + kx + \pi),y1=8sin(ωt+kx),y2=6sin(ωt+kx+2π),y3=4sin(ωt+kx+π),y4=2sin(ωt+kx+3π2),y5=42sin(ωt−kx+π4)y_4 = 2\sin\left(\omega t + kx + \dfrac{3\pi}{2}\right),\quad y_5 = 4\sqrt{2}\sin\left(\omega t - kx + \dfrac{\pi}{4}\right)y4=2sin(ωt+kx+23π),y5=42sin(ωt−kx+4π)are superimposed on each other. The resulting wave isa.82cos(kx) sin(ωt+π4)8\sqrt{2}\cos(kx)\,\sin\left(\omega t + \dfrac{\pi}{4}\right)82cos(kx)sin(ωt+4π)b.82sin(ωt−kx+π4)8\sqrt{2}\sin\left(\omega t - kx + \dfrac{\pi}{4}\right)82sin(ωt−kx+4π)c.82sin(kx) cos(ωt+π4)8\sqrt{2}\sin(kx)\,\cos\left(\omega t + \dfrac{\pi}{4}\right)82sin(kx)cos(ωt+4π)d.8sin(ωt+kx)8\sin(\omega t + kx)8sin(ωt+kx)Login to continueOnly logged in users canattempt or see the solution.