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Popular >

sin(2x)=((3m-8))/6

Solução

sin (2 x) = \frac{( 3 m - 8 )}{6}

Solução

x = \frac{arcsin ( \frac{3 m - 8}{6} )}{2} + πn, x = \frac{π}{2} + \frac{arcsin ( - \frac{3 m - 8}{6} )}{2} + πn

Passos da solução

sin (2 x) = \frac{( 3 m - 8 )}{6}

Aplique as propriedades trigonométricas inversas

sin (2 x) = \frac{3 m - 8}{6}

Soluções gerais para

sin (2 x) = \frac{3 m - 8}{6}

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

2 x = arcsin (\frac{3 m - 8}{6}) + 2 πn, 2 x = π + arcsin (- \frac{3 m - 8}{6}) + 2 πn

2 x = arcsin (\frac{3 m - 8}{6}) + 2 πn, 2 x = π + arcsin (- \frac{3 m - 8}{6}) + 2 πn

Resolver

2 x = arcsin (\frac{3 m - 8}{6}) + 2 πn : x = \frac{arcsin ( \frac{3 m - 8}{6} )}{2} + πn

2 x = arcsin (\frac{3 m - 8}{6}) + 2 πn

Dividir ambos os lados por

2

2 x = arcsin (\frac{3 m - 8}{6}) + 2 πn

Dividir ambos os lados por

2

\frac{2 x}{2} = \frac{arcsin ( \frac{3 m - 8}{6} )}{2} + \frac{2 πn}{2}

Simplificar

x = \frac{arcsin ( \frac{3 m - 8}{6} )}{2} + πn

x = \frac{arcsin ( \frac{3 m - 8}{6} )}{2} + πn

Resolver

2 x = π + arcsin (- \frac{3 m - 8}{6}) + 2 πn : x = \frac{π}{2} + \frac{arcsin ( - \frac{3 m - 8}{6} )}{2} + πn

2 x = π + arcsin (- \frac{3 m - 8}{6}) + 2 πn

Dividir ambos os lados por

2

2 x = π + arcsin (- \frac{3 m - 8}{6}) + 2 πn

Dividir ambos os lados por

2

\frac{2 x}{2} = \frac{π}{2} + \frac{arcsin ( - \frac{3 m - 8}{6} )}{2} + \frac{2 πn}{2}

Simplificar

x = \frac{π}{2} + \frac{arcsin ( - \frac{3 m - 8}{6} )}{2} + πn

x = \frac{π}{2} + \frac{arcsin ( - \frac{3 m - 8}{6} )}{2} + πn

x = \frac{arcsin ( \frac{3 m - 8}{6} )}{2} + πn, x = \frac{π}{2} + \frac{arcsin ( - \frac{3 m - 8}{6} )}{2} + πn

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