The expression cos2x means the cosine of twice the angle x.
Using the double angle formula for cosine, we have:
cos 2x = cos(x+x)
= cos(x)cos(x) – sin(x)sin(x)
= (cos(x))^2 – (sin(x))^2
Therefore, the simplified expression for cos2x is:
cos2x = (cos(x))^2 – (sin(x))^2
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