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If you have multiple sinusoids that are equally shifted in phase by 1 degree and have the same amplitude, you can calculate their sum by adding the individual sinusoids together.

Let's assume you have N sinusoids, each with an amplitude of A and equally shifted by 1 degree. The general equation for each sinusoid would be:

y(n) = A * sin(θn)

where n represents the index of the sinusoid, ranging from 1 to N, and θn represents the phase angle of the nth sinusoid.

To find the sum of these sinusoids, you can add them together:

y_sum = y(1) + y(2) + ... + y(N)

Using the equation for each sinusoid, we can substitute the values:

y_sum = A * sin(θ1) + A * sin(θ2) + ... + A * sin(θN)

If the phase angles are equally shifted by 1 degree, we can express them as multiples of the phase shift:

θn = n * 1 degree

Substituting this into the equation:

y_sum = A * sin(1 degree) + A * sin(2 degrees) + ... + A * sin(N degrees)

To calculate the sum, you would need to evaluate each term and add them together. However, it's important to note that for large values of N, the sum may not have a simple closed-form expression and might require numerical methods for accurate calculation.

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