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Popular >

solvefor x,y=5sin(x/4)

Solución

resolver para

x, y = 5 sin (\frac{x}{4})

Solución

x = 4 arcsin (\frac{y}{5}) + 8 πn, x = 4 π + 4 arcsin (- \frac{y}{5}) + 8 πn

Pasos de solución

y = 5 sin (\frac{x}{4})

Intercambiar lados

5 sin (\frac{x}{4}) = y

Dividir ambos lados entre

5

5 sin (\frac{x}{4}) = y

Dividir ambos lados entre

5

\frac{5 sin ( \frac{x}{4} )}{5} = \frac{y}{5}

Simplificar

sin (\frac{x}{4}) = \frac{y}{5}

sin (\frac{x}{4}) = \frac{y}{5}

Aplicar propiedades trigonométricas inversas

sin (\frac{x}{4}) = \frac{y}{5}

Soluciones generales para

sin (\frac{x}{4}) = \frac{y}{5}

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

\frac{x}{4} = arcsin (\frac{y}{5}) + 2 πn, \frac{x}{4} = π + arcsin (- \frac{y}{5}) + 2 πn

\frac{x}{4} = arcsin (\frac{y}{5}) + 2 πn, \frac{x}{4} = π + arcsin (- \frac{y}{5}) + 2 πn

Resolver

\frac{x}{4} = arcsin (\frac{y}{5}) + 2 πn : x = 4 arcsin (\frac{y}{5}) + 8 πn

\frac{x}{4} = arcsin (\frac{y}{5}) + 2 πn

Multiplicar ambos lados por

4

\frac{x}{4} = arcsin (\frac{y}{5}) + 2 πn

Multiplicar ambos lados por

4

\frac{4 x}{4} = 4 arcsin (\frac{y}{5}) + 4 \cdot 2 πn

Simplificar

\frac{4 x}{4} = 4 arcsin (\frac{y}{5}) + 4 \cdot 2 πn

Simplificar

\frac{4 x}{4} : x

\frac{4 x}{4}

Dividir:

\frac{4}{4} = 1

= x

Simplificar

4 arcsin (\frac{y}{5}) + 4 \cdot 2 πn : 4 arcsin (\frac{y}{5}) + 8 πn

4 arcsin (\frac{y}{5}) + 4 \cdot 2 πn

Multiplicar los numeros:

4 \cdot 2 = 8

= 4 arcsin (\frac{y}{5}) + 8 πn

x = 4 arcsin (\frac{y}{5}) + 8 πn

x = 4 arcsin (\frac{y}{5}) + 8 πn

x = 4 arcsin (\frac{y}{5}) + 8 πn

Resolver

\frac{x}{4} = π + arcsin (- \frac{y}{5}) + 2 πn : x = 4 π + 4 arcsin (- \frac{y}{5}) + 8 πn

\frac{x}{4} = π + arcsin (- \frac{y}{5}) + 2 πn

Multiplicar ambos lados por

4

\frac{x}{4} = π + arcsin (- \frac{y}{5}) + 2 πn

Multiplicar ambos lados por

4

\frac{4 x}{4} = 4 π + 4 arcsin (- \frac{y}{5}) + 4 \cdot 2 πn

Simplificar

\frac{4 x}{4} = 4 π + 4 arcsin (- \frac{y}{5}) + 4 \cdot 2 πn

Simplificar

\frac{4 x}{4} : x

\frac{4 x}{4}

Dividir:

\frac{4}{4} = 1

= x

Simplificar

4 π + 4 arcsin (- \frac{y}{5}) + 4 \cdot 2 πn : 4 π + 4 arcsin (- \frac{y}{5}) + 8 πn

4 π + 4 arcsin (- \frac{y}{5}) + 4 \cdot 2 πn

Multiplicar los numeros:

4 \cdot 2 = 8

= 4 π + 4 arcsin (- \frac{y}{5}) + 8 πn

x = 4 π + 4 arcsin (- \frac{y}{5}) + 8 πn

x = 4 π + 4 arcsin (- \frac{y}{5}) + 8 πn

x = 4 π + 4 arcsin (- \frac{y}{5}) + 8 πn

x = 4 arcsin (\frac{y}{5}) + 8 πn, x = 4 π + 4 arcsin (- \frac{y}{5}) + 8 πn

Ejemplos populares

3 sin (\frac{π}{3} x) = 2

cos^{2} (x) = \frac{1}{3}

4cos(θ)=1+2cos(θ)

4 cos (θ) = 1 + 2 cos (θ)

tan(θ)= 3/(sqrt(3))

tan (θ) = \frac{3}{3}

2 sin (3 x) + 2 = 4