5sin(pi/3 x)=2

Solución

5 sin (\frac{π}{3} x) = 2

x = \frac{3 \cdot 0.41151 \dots}{π} + 6 n, x = 3 - \frac{3 \cdot 0.41151 \dots}{π} + 6 n

Pasos de solución

5 sin (\frac{π}{3} x) = 2

Dividir ambos lados entre

5

sin (\frac{π}{3} x) = \frac{2}{5}

Aplicar propiedades trigonométricas inversas

\frac{π}{3} x = arcsin (\frac{2}{5}) + 2 πn, \frac{π}{3} x = π - arcsin (\frac{2}{5}) + 2 πn

Resolver

\frac{π}{3} x = arcsin (\frac{2}{5}) + 2 πn : x = \frac{3 arcsin ( \frac{2}{5} )}{π} + 6 n

Resolver

\frac{π}{3} x = π - arcsin (\frac{2}{5}) + 2 πn : x = 3 - \frac{3 arcsin ( \frac{2}{5} )}{π} + 6 n

x = \frac{3 arcsin ( \frac{2}{5} )}{π} + 6 n, x = 3 - \frac{3 arcsin ( \frac{2}{5} )}{π} + 6 n

Mostrar soluciones en forma decimal

x = \frac{3 \cdot 0.41151 \dots}{π} + 6 n, x = 3 - \frac{3 \cdot 0.41151 \dots}{π} + 6 n

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