Simplify 2sin(x)^2sin(x)^2

Problem

2*sin(x)*sin(x)

Solution

1. Identify the expression as a product of two identical trigonometric terms multiplied by a constant.

2. Apply the product rule for exponents which states that a^m⋅a^n=a^(m+n)

3. Combine the powers of sin(x) by adding the exponents $2 + 2 = 4$.

4. Rewrite the expression in standard trigonometric notation where sin(x) is written as sin^n(x)

Final Answer

2*sin(x)*sin(x)=2*sin^4(x)

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