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Popular >

solvefor x,g=f(sin(6x-7y))

Solución

resolver para

x, g = f (sin (6 x - 7 y))

Solución

x = \frac{arcsin ( \frac{g}{f} )}{6} + \frac{πn}{3} + \frac{7 y}{6}, x = \frac{π}{6} + \frac{arcsin ( - \frac{g}{f} )}{6} + \frac{πn}{3} + \frac{7 y}{6}

Pasos de solución

g = f (sin (6 x - 7 y))

Intercambiar lados

f sin (6 x - 7 y) = g

Dividir ambos lados entre

f; f \neq = 0

f sin (6 x - 7 y) = g

Dividir ambos lados entre

f; f \neq = 0

\frac{f sin ( 6 x - 7 y )}{f} = \frac{g}{f}; f \neq = 0

Simplificar

sin (6 x - 7 y) = \frac{g}{f}; f \neq = 0

sin (6 x - 7 y) = \frac{g}{f}; f \neq = 0

Aplicar propiedades trigonométricas inversas

sin (6 x - 7 y) = \frac{g}{f}

Soluciones generales para

sin (6 x - 7 y) = \frac{g}{f}

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

6 x - 7 y = arcsin (\frac{g}{f}) + 2 πn, 6 x - 7 y = π + arcsin (- \frac{g}{f}) + 2 πn

6 x - 7 y = arcsin (\frac{g}{f}) + 2 πn, 6 x - 7 y = π + arcsin (- \frac{g}{f}) + 2 πn

Resolver

6 x - 7 y = arcsin (\frac{g}{f}) + 2 πn : x = \frac{arcsin ( \frac{g}{f} )}{6} + \frac{πn}{3} + \frac{7 y}{6}

6 x - 7 y = arcsin (\frac{g}{f}) + 2 πn

Mover

7 y

al lado derecho

6 x - 7 y = arcsin (\frac{g}{f}) + 2 πn

Sumar

7 y

a ambos lados

6 x - 7 y + 7 y = arcsin (\frac{g}{f}) + 2 πn + 7 y

Simplificar

6 x = arcsin (\frac{g}{f}) + 2 πn + 7 y

6 x = arcsin (\frac{g}{f}) + 2 πn + 7 y

Dividir ambos lados entre

6

6 x = arcsin (\frac{g}{f}) + 2 πn + 7 y

Dividir ambos lados entre

6

\frac{6 x}{6} = \frac{arcsin ( \frac{g}{f} )}{6} + \frac{2 πn}{6} + \frac{7 y}{6}

Simplificar

x = \frac{arcsin ( \frac{g}{f} )}{6} + \frac{πn}{3} + \frac{7 y}{6}

x = \frac{arcsin ( \frac{g}{f} )}{6} + \frac{πn}{3} + \frac{7 y}{6}

Resolver

6 x - 7 y = π + arcsin (- \frac{g}{f}) + 2 πn : x = \frac{π}{6} + \frac{arcsin ( - \frac{g}{f} )}{6} + \frac{πn}{3} + \frac{7 y}{6}

6 x - 7 y = π + arcsin (- \frac{g}{f}) + 2 πn

Mover

7 y

al lado derecho

6 x - 7 y = π + arcsin (- \frac{g}{f}) + 2 πn

Sumar

7 y

a ambos lados

6 x - 7 y + 7 y = π + arcsin (- \frac{g}{f}) + 2 πn + 7 y

Simplificar

6 x = π + arcsin (- \frac{g}{f}) + 2 πn + 7 y

6 x = π + arcsin (- \frac{g}{f}) + 2 πn + 7 y

Dividir ambos lados entre

6

6 x = π + arcsin (- \frac{g}{f}) + 2 πn + 7 y

Dividir ambos lados entre

6

\frac{6 x}{6} = \frac{π}{6} + \frac{arcsin ( - \frac{g}{f} )}{6} + \frac{2 πn}{6} + \frac{7 y}{6}

Simplificar

x = \frac{π}{6} + \frac{arcsin ( - \frac{g}{f} )}{6} + \frac{πn}{3} + \frac{7 y}{6}

x = \frac{π}{6} + \frac{arcsin ( - \frac{g}{f} )}{6} + \frac{πn}{3} + \frac{7 y}{6}

x = \frac{arcsin ( \frac{g}{f} )}{6} + \frac{πn}{3} + \frac{7 y}{6}, x = \frac{π}{6} + \frac{arcsin ( - \frac{g}{f} )}{6} + \frac{πn}{3} + \frac{7 y}{6}

Ejemplos populares

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arccos (\frac{3}{2}) + arcsin (3 x) = \frac{π}{2}

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2 sin (x) = 5 cos (x), 0^{\circ} \leq x < 36 0^{\circ}

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cos(2x)sin(x)+sin(x)=5cos(2x)+5

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