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 sin^2(x)

3. Recognize that while sin^2(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)=sin^2(x)

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