I've got a situation where I can approximate a line by the function:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]y = a_0 + a_1 \sin x + a_2 \sin 2x + b_1 \cos x + b_2 \cos 2x[/tex]

From experimental data I will be able to find certain values for x and y, namely y_{n}and x_{n}for some value of n. Now I can easily write a computer program which could work out the co-efficients in this problem if I have 5 values for y and 5 values for x. However, being a particle situation and wanting as many results as possible or perhaps not being able to gain that many results due to constraints, how would I be able to approximate these co-efficient please?

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# Approximating co-efficents

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