Esercizio
$sec^3\left(x\right)+csc^3\left(x\right)=0$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. sec(x)^3+csc(x)^3=0. Applicare la formula: a^3+b=\left(a+\sqrt[3]{b}\right)\left(a^2-a\sqrt[3]{b}+\sqrt[3]{b^{2}}\right), dove a=\sec\left(x\right) e b=\csc\left(x\right)^3. Simplify \sqrt[3]{\csc\left(x\right)^3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{3}. Simplify \sqrt[3]{\csc\left(x\right)^3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{3}. Simplify \sqrt[3]{\left(\csc\left(x\right)^3\right)^{2}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{2}{3}.
Risposta finale al problema
$x=0,\:x=0\:,\:\:n\in\Z$