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Popular >

3.8=11.8sin(3.92232*t)

Solución

3.8 = 11.8 sin (3.92232 \cdot t)

Solución

t = \frac{0.32787 \dots}{3.92232} + \frac{2 πn}{3.92232}, t = \frac{π}{3.92232} - \frac{0.32787 \dots}{3.92232} + \frac{2 πn}{3.92232}

Grados

t = 4.78950 \dots^{\circ} + 91.78241 \dots^{\circ} n, t = 41.10170 \dots^{\circ} + 91.78241 \dots^{\circ} n

Pasos de solución

3.8 = 11.8 sin (3.92232 t)

Intercambiar lados

11.8 sin (3.92232 t) = 3.8

Multiplicar ambos lados por

10

11.8 sin (3.92232 t) = 3.8

Para eliminar los puntos decimales, multiplique por 10 por cada digito después del punto decimalHay un digito a la derecha del punto decimal, por lo que debe multiplicar por

10

11.8 sin (3.92232 t) \cdot 10 = 3.8 \cdot 10

Simplificar

118 sin (3.92232 t) = 38

118 sin (3.92232 t) = 38

Dividir ambos lados entre

118

118 sin (3.92232 t) = 38

Dividir ambos lados entre

118

\frac{118 sin ( 3.92232 t )}{118} = \frac{38}{118}

Simplificar

sin (3.92232 t) = \frac{19}{59}

sin (3.92232 t) = \frac{19}{59}

Aplicar propiedades trigonométricas inversas

sin (3.92232 t) = \frac{19}{59}

Soluciones generales para

sin (3.92232 t) = \frac{19}{59}

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

3.92232 t = arcsin (\frac{19}{59}) + 2 πn, 3.92232 t = π - arcsin (\frac{19}{59}) + 2 πn

3.92232 t = arcsin (\frac{19}{59}) + 2 πn, 3.92232 t = π - arcsin (\frac{19}{59}) + 2 πn

Resolver

3.92232 t = arcsin (\frac{19}{59}) + 2 πn : t = \frac{arcsin ( \frac{19}{59} )}{3.92232} + \frac{2 πn}{3.92232}

3.92232 t = arcsin (\frac{19}{59}) + 2 πn

Dividir ambos lados entre

3.92232

3.92232 t = arcsin (\frac{19}{59}) + 2 πn

Dividir ambos lados entre

3.92232

\frac{3.92232 t}{3.92232} = \frac{arcsin ( \frac{19}{59} )}{3.92232} + \frac{2 πn}{3.92232}

Simplificar

t = \frac{arcsin ( \frac{19}{59} )}{3.92232} + \frac{2 πn}{3.92232}

t = \frac{arcsin ( \frac{19}{59} )}{3.92232} + \frac{2 πn}{3.92232}

Resolver

3.92232 t = π - arcsin (\frac{19}{59}) + 2 πn : t = \frac{π}{3.92232} - \frac{arcsin ( \frac{19}{59} )}{3.92232} + \frac{2 πn}{3.92232}

3.92232 t = π - arcsin (\frac{19}{59}) + 2 πn

Dividir ambos lados entre

3.92232

3.92232 t = π - arcsin (\frac{19}{59}) + 2 πn

Dividir ambos lados entre

3.92232

\frac{3.92232 t}{3.92232} = \frac{π}{3.92232} - \frac{arcsin ( \frac{19}{59} )}{3.92232} + \frac{2 πn}{3.92232}

Simplificar

t = \frac{π}{3.92232} - \frac{arcsin ( \frac{19}{59} )}{3.92232} + \frac{2 πn}{3.92232}

t = \frac{π}{3.92232} - \frac{arcsin ( \frac{19}{59} )}{3.92232} + \frac{2 πn}{3.92232}

t = \frac{arcsin ( \frac{19}{59} )}{3.92232} + \frac{2 πn}{3.92232}, t = \frac{π}{3.92232} - \frac{arcsin ( \frac{19}{59} )}{3.92232} + \frac{2 πn}{3.92232}

Mostrar soluciones en forma decimal

t = \frac{0.32787 \dots}{3.92232} + \frac{2 πn}{3.92232}, t = \frac{π}{3.92232} - \frac{0.32787 \dots}{3.92232} + \frac{2 πn}{3.92232}

Gráfica

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