Expand the Trigonometric Expression tan(2x)

Problem

tan(2*x)

Solution

1. Identify the double angle identity for the tangent function.

2. Apply the formula for tan(A+B) where A=x and B=x

3. Substitute the values into the identity tan(x+x)=(tan(x)+tan(x))/(1−tan(x)*tan(x))

4. Simplify the numerator by adding the like terms and the denominator by multiplying the terms.

Final Answer

tan(2*x)=(2*tan(x))/(1−tan2(x))

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