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Popular >

sin(x)sin^3(x)-sin^5(x)sin^3(x)=0

Solución

sin (x) sin^{3} (x) - sin^{5} (x) sin^{3} (x) = 0

Solución

x = 2 πn, x = π + 2 πn, x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

+1

Pasos de solución

sin (x) sin^{3} (x) - sin^{5} (x) sin^{3} (x) = 0

Usando el método de sustitución

sin (x) = 0, sin (x) = 1, sin (x) = - 1, sin (x) = i, sin (x) = - i

sin (x) = 0 : x = 2 πn, x = π + 2 πn

sin (x) = 1 : x = \frac{π}{2} + 2 πn

sin (x) = - 1 : x = \frac{3 π}{2} + 2 πn

sin (x) = i :

Sin solución

sin (x) = - i :

Sin solución

Combinar toda las soluciones

x = 2 πn, x = π + 2 πn, x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

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