cos(2x)=
The equation cos(2x) can be simplified using the double angle identity for cosine which states that cos(2x) = cos^2(x) – sin^2(x)
The equation cos(2x) can be simplified using the double angle identity for cosine which states that cos(2x) = cos^2(x) – sin^2(x).
So, cos(2x) = cos^2(x) – sin^2(x).
Another way to express cos(2x) is using the identity cos^2(x) + sin^2(x) = 1.
Rearranging this identity, we get cos^2(x) = 1 – sin^2(x).
Substituting this into the first equation, we have:
cos(2x) = 1 – sin^2(x) – sin^2(x).
Combining like terms, we get:
cos(2x) = 1 – 2sin^2(x).
Therefore, cos(2x) = 1 – 2sin^2(x).
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