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The point simultaneously performs two harmonic oscillations, occurring in mutually perpendicular directions and expressed by the equations: x = A1cos ω1t and y = A2sin ω2t, where A1 = 1 cm; ω1 = 0.5 s–1; A2 = 1 cm; ω2 = 1 s–1. Find the equation of the trajectory, construct it to scale and indicate the direction of movement.
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