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solvefor x,0.33=sin(209.42x)

Solución

resolver para

x, 0.33 = sin (209.42 x)

x = \frac{0.33630 \dots}{209.42} + \frac{2 πn}{209.42}, x = \frac{π}{209.42} - \frac{0.33630 \dots}{209.42} + \frac{2 πn}{209.42}

Grados

x = 0.09201 \dots^{\circ} + 1.71903 \dots^{\circ} n, x = 0.76750 \dots^{\circ} + 1.71903 \dots^{\circ} n

Pasos de solución

0.33 = sin (209.42 x)

Intercambiar lados

sin (209.42 x) = 0.33

Aplicar propiedades trigonométricas inversas

sin (209.42 x) = 0.33

Soluciones generales para

sin (209.42 x) = 0.33

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

209.42 x = arcsin (0.33) + 2 πn, 209.42 x = π - arcsin (0.33) + 2 πn

209.42 x = arcsin (0.33) + 2 πn, 209.42 x = π - arcsin (0.33) + 2 πn

Resolver

209.42 x = arcsin (0.33) + 2 πn : x = \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

209.42 x = arcsin (0.33) + 2 πn

Dividir ambos lados entre

209.42

209.42 x = arcsin (0.33) + 2 πn

Dividir ambos lados entre

209.42

\frac{209.42 x}{209.42} = \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

Simplificar

x = \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

x = \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

Resolver

209.42 x = π - arcsin (0.33) + 2 πn : x = \frac{π}{209.42} - \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

209.42 x = π - arcsin (0.33) + 2 πn

Dividir ambos lados entre

209.42

209.42 x = π - arcsin (0.33) + 2 πn

Dividir ambos lados entre

209.42

\frac{209.42 x}{209.42} = \frac{π}{209.42} - \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

Simplificar

x = \frac{π}{209.42} - \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

x = \frac{π}{209.42} - \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

x = \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}, x = \frac{π}{209.42} - \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

Mostrar soluciones en forma decimal

x = \frac{0.33630 \dots}{209.42} + \frac{2 πn}{209.42}, x = \frac{π}{209.42} - \frac{0.33630 \dots}{209.42} + \frac{2 πn}{209.42}

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