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Popular >

solvefor x,y= 1/(5sin(2x))

Solución

resolver para

x, y = \frac{1}{5 sin ( 2 x )}

Solución

x = \frac{arcsin ( \frac{1}{5 y} )}{2} + πn, x = \frac{π}{2} + \frac{arcsin ( - \frac{1}{5 y} )}{2} + πn

Pasos de solución

y = \frac{1}{5 sin ( 2 x )}

Intercambiar lados

\frac{1}{5 sin ( 2 x )} = y

Multiplicar ambos lados por

sin (2 x)

\frac{1}{5 sin ( 2 x )} = y

Multiplicar ambos lados por

sin (2 x)

\frac{1}{5 sin ( 2 x )} sin (2 x) = y sin (2 x)

Simplificar

\frac{1}{5} = y sin (2 x)

\frac{1}{5} = y sin (2 x)

Intercambiar lados

y sin (2 x) = \frac{1}{5}

Dividir ambos lados entre

y; y \neq = 0

y sin (2 x) = \frac{1}{5}

Dividir ambos lados entre

y; y \neq = 0

\frac{y sin ( 2 x )}{y} = \frac{\frac{1}{5}}{y}; y \neq = 0

Simplificar

\frac{y sin ( 2 x )}{y} = \frac{\frac{1}{5}}{y}

Simplificar

\frac{y sin ( 2 x )}{y} : sin (2 x)

\frac{y sin ( 2 x )}{y}

Eliminar los terminos comunes:

y

= sin (2 x)

Simplificar

\frac{\frac{1}{5}}{y} : \frac{1}{5 y}

\frac{\frac{1}{5}}{y}

Aplicar las propiedades de las fracciones:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{1}{5 y}

sin (2 x) = \frac{1}{5 y}; y \neq = 0

sin (2 x) = \frac{1}{5 y}; y \neq = 0

sin (2 x) = \frac{1}{5 y}; y \neq = 0

Aplicar propiedades trigonométricas inversas

sin (2 x) = \frac{1}{5 y}

Soluciones generales para

sin (2 x) = \frac{1}{5 y}

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

2 x = arcsin (\frac{1}{5 y}) + 2 πn, 2 x = π + arcsin (- \frac{1}{5 y}) + 2 πn

2 x = arcsin (\frac{1}{5 y}) + 2 πn, 2 x = π + arcsin (- \frac{1}{5 y}) + 2 πn

Resolver

2 x = arcsin (\frac{1}{5 y}) + 2 πn : x = \frac{arcsin ( \frac{1}{5 y} )}{2} + πn

2 x = arcsin (\frac{1}{5 y}) + 2 πn

Dividir ambos lados entre

2

2 x = arcsin (\frac{1}{5 y}) + 2 πn

Dividir ambos lados entre

2

\frac{2 x}{2} = \frac{arcsin ( \frac{1}{5 y} )}{2} + \frac{2 πn}{2}

Simplificar

x = \frac{arcsin ( \frac{1}{5 y} )}{2} + πn

x = \frac{arcsin ( \frac{1}{5 y} )}{2} + πn

Resolver

2 x = π + arcsin (- \frac{1}{5 y}) + 2 πn : x = \frac{π}{2} + \frac{arcsin ( - \frac{1}{5 y} )}{2} + πn

2 x = π + arcsin (- \frac{1}{5 y}) + 2 πn

Dividir ambos lados entre

2

2 x = π + arcsin (- \frac{1}{5 y}) + 2 πn

Dividir ambos lados entre

2

\frac{2 x}{2} = \frac{π}{2} + \frac{arcsin ( - \frac{1}{5 y} )}{2} + \frac{2 πn}{2}

Simplificar

x = \frac{π}{2} + \frac{arcsin ( - \frac{1}{5 y} )}{2} + πn

x = \frac{π}{2} + \frac{arcsin ( - \frac{1}{5 y} )}{2} + πn

x = \frac{arcsin ( \frac{1}{5 y} )}{2} + πn, x = \frac{π}{2} + \frac{arcsin ( - \frac{1}{5 y} )}{2} + πn

Ejemplos populares

cos(θ)= 3/(sqrt(35))

cos (θ) = \frac{3}{35}

csc^2(θ)-3csc(θ)+2=0

csc^{2} (θ) - 3 csc (θ) + 2 = 0

sin(3x)=sqrt(2)

sin (3 x) = 2

4 \cdot cos (x) + 5 = 0

2 = (1 - cos (θ))