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

Problem

cos2(x)−sin2(x)

Solution

1. Identify the expression as a standard trigonometric form.

2. Apply the double-angle identity for the cosine function, which states that cos(2*x)=cos2(x)−sin2(x)

3. Substitute the identity to simplify the expression to its most compact form.

Final Answer

cos2(x)−sin2(x)=cos(2*x)

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