Expand the Trigonometric Expression sin(x)^2

Problem

sin2(x)

Solution

1. Identify the trigonometric identity for the square of a sine function.

2. Apply the power-reduction formula, which states that the square of the sine of an angle is equal to one-half times the quantity of one minus the cosine of double that angle.

3. Substitute the expression into the formula.

sin2(x)=(1−cos(2*x))/2

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

sin2(x)=1/2−1/2*cos(2*x)

Final Answer

sin2(x)=1/2−1/2*cos(2*x)

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