One way is to shift it to the left by a quarter of the period.
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The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
Cosine
The sine curve is exactly the same as the cosine curve shifted pi/2 radians to the left
It is to convert a function into a sum of sine (or cosine) functions so as to simplify its analysis.
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.