Question

Si se sabe que: tan(θ) = 0,222 …

Calcular:

tan(2θ)

Answer 1

SOLUCIÓN

♛ HØlα!! ✌

⚠ Recuerda que

                                     $\boxed{\tan(2\theta) = \dfrac{2\tan(\theta)}{1-\tan^2(\theta)}}$

Entonces reemplazamos

                                       $\tan(2\theta) = \dfrac{2\tan(\theta)}{1-\tan^2(\theta)}\\\\\\\tan(2\theta) = \dfrac{2(0.\overline{2})}{1-(0.\overline{2})^2}\\\\\\\boxed{\boxed{\boldsymbol{\tan(2\theta) =\dfrac{36}{77}}}}$