Expand the Trigonometric Expression cos(x)^2

Problem

cos(x)

Solution

1. Identify the trigonometric identity for the square of a cosine function, which is often used to reduce the power of the expression.

2. Apply the power-reduction formula for cosine, which states that cos(θ)=(1+cos(2*θ))/2

3. Substitute the variable x into the formula to expand the expression into a linear trigonometric form.

4. Distribute the fraction to write the expression in its expanded form.

Final Answer

cos(x)=1/2+cos(2*x)/2

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