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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

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere is one digit to the right of the decimal point, therefore multiply by

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}

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