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Popular >

sin(2x)=((2m-4))/5

Solución

sin (2 x) = \frac{( 2 m - 4 )}{5}

Solución

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

Pasos de solución

sin (2 x) = \frac{( 2 m - 4 )}{5}

Aplicar propiedades trigonométricas inversas

sin (2 x) = \frac{2 m - 4}{5}

Soluciones generales para

sin (2 x) = \frac{2 m - 4}{5}

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

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

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

Resolver

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

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

Dividir ambos lados entre

2

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

Dividir ambos lados entre

2

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

Simplificar

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

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

Resolver

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

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

Dividir ambos lados entre

2

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

Dividir ambos lados entre

2

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

Simplificar

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

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

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

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34sin(pi/6 (x-43))=34

34 sin (\frac{π}{6} (x - 43)) = 34

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