Simplify sin(x)*sin(x)

Problem

sin(x)⋅sin(x)

Solution

1. Identify the expression as the product of a trigonometric function with itself.

2. Apply the notation for trigonometric powers, where (sin(x))2 is written as sin2(x)

3. Recognize that while sin2(x) is the standard simplified form, it can also be expressed using the power-reduction identity (1−cos(2*x))/2 if needed for specific contexts like integration.

Final Answer

sin(x)⋅sin(x)=sin2(x)

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