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31-12-2023
Mathematics

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To rewrite y ⁡ ( t ) = 2 sin 4 ⁢ π ⁢ t + 5 cos 4 ⁢ π ⁢ t in the form y ⁡ ( t ) = A sin ( ω ⁢ t + ϕ ) , you must first find the amplitude, A. Use the given values c 1 = A sin ϕ and c 2 = A cos ϕ , along with the Pythagorean identity, to solve for A.

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