Fit a trigonometric function of the form f(t)=c0+c1sin(t)+c2cos(t)f(t)=c0+c1 sin⁡(t)+c2cos⁡(t) to the data points (0,5.5)(0,5.5), (π2,0.5)(π2,0.5), (π,−2.5)(π,−2.5), (3π2,−7.5)(3π2,−7.5), using least squares.

Answer

Step-By-Step Explanation

Given the function .

For each pair (t, f(t)) in the data points (0,5.5), (π/2,0.5), (π,−2.5), (3π/2,−7.5)

.

.

.

.

Expressing this as a system of linear equations in matrix form AX=B

Where    

,      

To determine the values of X, we use the expression  

Therefore:    

Therefore, the trigonometric function which fits to the given data is:

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step-by-step explanation:

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step-by-step explanation: