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Factor cos(x)sin(x)

Problem

cos(x)*sin(x)

Solution

  1. Identify the expression as a product of trigonometric functions that resembles the double angle identity for sine.

  2. Recall the double angle identity for sine, which states sin(2*x)=2*sin(x)*cos(x)

  3. Manipulate the identity to isolate the given expression by dividing both sides by 2

  4. Rewrite the expression in its factored or simplified trigonometric form.

Final Answer

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


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