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I want to generate seasonal temperature of Bay of Bengal. I want to do this with a trigonometric function. Seasonal temperature of Bay of Bengal has two peaks. One major peak during April and another moderate peak in November. Which trigonometric function I should use to do this?

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Ecology
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    Customary procedure is feed terms in pairs, each pair being one sine and one cosine term. I'd guess that you'd three pairs at least to catch that. – Nick Cox Jun 04 '19 at 10:07

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If you want to be a bit fancy, you could run a DFFT (Discrete Fast Fourier Transformation) over your data , which would give you the approximate coefficients for a sum of sines and cosines -

$$f(t) = \sum{a_ncos(w_nt)+ b_nsin(w_nt)}$$

Then you could pick the highest coefficients and only use them, that would give you something similar to your original function, represented in terms of sin and cos.

Arik Voronov
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