The function cos2x refers to the cosine of twice the angle x.
Using the double angle formula for cosine, we know that:
cos(2x) = cos(x + x) = cos^2(x) – sin^2(x)
= (cos(x))^2 – (sin(x))^2
= (2cos^2(x) – 1)
= 1 – 2(sin^2(x))
Therefore, if we take the cosine of twice the angle x, it can be simplified using the above formula in terms of just the cosine or sine of x.
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