Mastering The Double Angle Formula: Simplifying Cos2X = (Cos(X))^2 - (Sin(X))^2

cos2x

cos^2(x)-sin^2(x)1-2sin^2(x)2cos^2(x)-1

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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Mastering The Double Angle Formula: Simplifying Cos2X = (Cos(X))^2 – (Sin(X))^2

cos2x

cos^2(x)-sin^2(x)1-2sin^2(x)2cos^2(x)-1

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