tan(2x)=
The expression “tan(2x)” represents the tangent function of the double angle “2x”
The expression “tan(2x)” represents the tangent function of the double angle “2x”. To simplify this expression, we can use the double-angle formula for tangent.
The double-angle formula for tangent states: tan(2x) = (2tan(x)) / (1 – tan^2(x))
This formula allows us to express the tangent of a double angle in terms of the tangent of the original angle.
Let’s break down the steps to find the simplified form of tan(2x) using the double-angle formula:
Step 1: Substitute “2x” into the double-angle formula for tangent:
tan(2x) = (2tan(x)) / (1 – tan^2(x))
Step 2: Simplify the expression:
tan(2x) = (2tan(x)) / (1 – tan^2(x))
This is the simplified form of tan(2x) using the double-angle formula for tangent.
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