Word Count : 306

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We are asked to determine the path of the resultant motion of a body undergoing two orthogonal oscillations: $$ x(t) = 0.4 \cos(10\pi t) \, \text{m}, \quad y(t) = 0.4 \cos\left(10\pi t + \frac{\pi}{2}\right) \, \text{m}. $$ Let's solve step by step manually. --- ### Step 1: Express $y(t)$ in terms of sine and cosine We know that: $$ \cos\left(\theta + ___ ____ ______ ______ ______ __________ ______ ______ ______ _____ ______.
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