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Popular >

6sin(8x)+2=-3

Solución

6 sin (8 x) + 2 = - 3

Solución

x = - \frac{0.98511 \dots}{8} + \frac{πn}{4}, x = \frac{π}{8} + \frac{0.98511 \dots}{8} + \frac{πn}{4}

+1

Grados

x = - 7.05533 \dots^{\circ} + 4 5^{\circ} n, x = 29.55533 \dots^{\circ} + 4 5^{\circ} n

Pasos de solución

6 sin (8 x) + 2 = - 3

Mover

2

al lado derecho

6 sin (8 x) + 2 = - 3

Restar

2

de ambos lados

6 sin (8 x) + 2 - 2 = - 3 - 2

Simplificar

6 sin (8 x) = - 5

6 sin (8 x) = - 5

Dividir ambos lados entre

6

6 sin (8 x) = - 5

Dividir ambos lados entre

6

\frac{6 sin ( 8 x )}{6} = \frac{- 5}{6}

Simplificar

sin (8 x) = - \frac{5}{6}

sin (8 x) = - \frac{5}{6}

Aplicar propiedades trigonométricas inversas

sin (8 x) = - \frac{5}{6}

Soluciones generales para

sin (8 x) = - \frac{5}{6}

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

8 x = arcsin (- \frac{5}{6}) + 2 πn, 8 x = π + arcsin (\frac{5}{6}) + 2 πn

8 x = arcsin (- \frac{5}{6}) + 2 πn, 8 x = π + arcsin (\frac{5}{6}) + 2 πn

Resolver

8 x = arcsin (- \frac{5}{6}) + 2 πn : x = - \frac{arcsin ( \frac{5}{6} )}{8} + \frac{πn}{4}

8 x = arcsin (- \frac{5}{6}) + 2 πn

Simplificar

arcsin (- \frac{5}{6}) + 2 πn : - arcsin (\frac{5}{6}) + 2 πn

arcsin (- \frac{5}{6}) + 2 πn

Utilizar la siguiente propiedad:

arcsin (- x) = - arcsin (x)

arcsin (- \frac{5}{6}) = - arcsin (\frac{5}{6})

= - arcsin (\frac{5}{6}) + 2 πn

8 x = - arcsin (\frac{5}{6}) + 2 πn

Dividir ambos lados entre

8

8 x = - arcsin (\frac{5}{6}) + 2 πn

Dividir ambos lados entre

8

\frac{8 x}{8} = - \frac{arcsin ( \frac{5}{6} )}{8} + \frac{2 πn}{8}

Simplificar

x = - \frac{arcsin ( \frac{5}{6} )}{8} + \frac{πn}{4}

x = - \frac{arcsin ( \frac{5}{6} )}{8} + \frac{πn}{4}

Resolver

8 x = π + arcsin (\frac{5}{6}) + 2 πn : x = \frac{π}{8} + \frac{arcsin ( \frac{5}{6} )}{8} + \frac{πn}{4}

8 x = π + arcsin (\frac{5}{6}) + 2 πn

Dividir ambos lados entre

8

8 x = π + arcsin (\frac{5}{6}) + 2 πn

Dividir ambos lados entre

8

\frac{8 x}{8} = \frac{π}{8} + \frac{arcsin ( \frac{5}{6} )}{8} + \frac{2 πn}{8}

Simplificar

x = \frac{π}{8} + \frac{arcsin ( \frac{5}{6} )}{8} + \frac{πn}{4}

x = \frac{π}{8} + \frac{arcsin ( \frac{5}{6} )}{8} + \frac{πn}{4}

x = - \frac{arcsin ( \frac{5}{6} )}{8} + \frac{πn}{4}, x = \frac{π}{8} + \frac{arcsin ( \frac{5}{6} )}{8} + \frac{πn}{4}

Mostrar soluciones en forma decimal

x = - \frac{0.98511 \dots}{8} + \frac{πn}{4}, x = \frac{π}{8} + \frac{0.98511 \dots}{8} + \frac{πn}{4}

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9sin(x)cos(x)=-8cos(x)

9 sin (x) cos (x) = - 8 cos (x)

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cot(x)(tan(x)+1)=0

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