Expand the Trigonometric Expression 3tan(2x)

Problem

3*tan(2*x)

Solution

1. Identify the double angle formula for the tangent function, which is tan(2*x)=(2*tan(x))/(1−tan2(x))

2. Substitute the double angle formula into the given expression 3*tan(2*x)

3. Distribute the constant factor 3 into the numerator of the resulting fraction.

4. Simplify the expression to reach the final expanded form.

Final Answer

3*tan(2*x)=(6*tan(x))/(1−tan2(x))

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