Understanding and Applying the Tan 2x Formula in Trigonometry
The tan2x formula for the tangent of a double angle, often denoted as tan(2x)\tan(2x)tan(2x), relates the tangent of an angle to the tangent of twice that angle xxx. Here’s how it’s derived: Given the double-angle identity for tangent: tan(2x)=2tan(x)1−tan2(x)\tan(2x) = \frac{2\tan(x)}{1 – \tan^2(x)}tan(2x)=1−tan2(x)2tan(x) This formula allows you to express tan(2x)\tan(2x)tan(2x) in terms of tan(x)\tan(x)tan(x), which…