Question

Si: tanx + cotx = 3, calcule: tan^3 x + cot^3 x
Porf!!

Answer 1

PREGUNTA

Si  tanx + cotx = 3, calcule: tan³x + cot³x

SOLUCIÓN

Hola!!

Reordemos que

                              $\boxed{\boldsymbol{\mathrm{(a+b)^{3} = a^{3} + b^{3} + 3ab(a+b)}}}$

En el problema

                             $\mathrm{[\tan(x) +\cot(x)]^{3} = \tan(x)^{3} + \cot(x)^{3} + 3\tan(x)\cot(x)[\tan(x)+\cot(x)]}\\\\\mathrm{3^{3}=\tan(x)^{3} + \cot(x)^{3} + 3(1)(3)}\\\\\mathrm{27 =\tan(x)^{3} + \cot(x)^{3} + 9}\\\\\boxed{\mathrm{\tan(x)^{3} + \cot(x)^{3} = 18}}$

Answer 2

Respuesta:

7

Explicación paso a paso:

:)