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Popular Trigonometría >

20sin(10x)-10=5

Solución

20 sin (10 x) - 10 = 5

Solución

x = \frac{0.84806 \dots}{10} + \frac{πn}{5}, x = \frac{π}{10} - \frac{0.84806 \dots}{10} + \frac{πn}{5}

+1

Grados

x = 4.85903 \dots^{\circ} + 3 6^{\circ} n, x = 13.14096 \dots^{\circ} + 3 6^{\circ} n

Pasos de solución

20 sin (10 x) - 10 = 5

Desplace

10

a la derecha

20 sin (10 x) - 10 = 5

Sumar

10

a ambos lados

20 sin (10 x) - 10 + 10 = 5 + 10

Simplificar

20 sin (10 x) = 15

20 sin (10 x) = 15

Dividir ambos lados entre

20

20 sin (10 x) = 15

Dividir ambos lados entre

20

\frac{20 sin ( 10 x )}{20} = \frac{15}{20}

Simplificar

sin (10 x) = \frac{3}{4}

sin (10 x) = \frac{3}{4}

Aplicar propiedades trigonométricas inversas

sin (10 x) = \frac{3}{4}

Soluciones generales para

sin (10 x) = \frac{3}{4}

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

10 x = arcsin (\frac{3}{4}) + 2 πn, 10 x = π - arcsin (\frac{3}{4}) + 2 πn

10 x = arcsin (\frac{3}{4}) + 2 πn, 10 x = π - arcsin (\frac{3}{4}) + 2 πn

Resolver

10 x = arcsin (\frac{3}{4}) + 2 πn : x = \frac{arcsin ( \frac{3}{4} )}{10} + \frac{πn}{5}

10 x = arcsin (\frac{3}{4}) + 2 πn

Dividir ambos lados entre

10

10 x = arcsin (\frac{3}{4}) + 2 πn

Dividir ambos lados entre

10

\frac{10 x}{10} = \frac{arcsin ( \frac{3}{4} )}{10} + \frac{2 πn}{10}

Simplificar

x = \frac{arcsin ( \frac{3}{4} )}{10} + \frac{πn}{5}

x = \frac{arcsin ( \frac{3}{4} )}{10} + \frac{πn}{5}

Resolver

10 x = π - arcsin (\frac{3}{4}) + 2 πn : x = \frac{π}{10} - \frac{arcsin ( \frac{3}{4} )}{10} + \frac{πn}{5}

10 x = π - arcsin (\frac{3}{4}) + 2 πn

Dividir ambos lados entre

10

10 x = π - arcsin (\frac{3}{4}) + 2 πn

Dividir ambos lados entre

10

\frac{10 x}{10} = \frac{π}{10} - \frac{arcsin ( \frac{3}{4} )}{10} + \frac{2 πn}{10}

Simplificar

x = \frac{π}{10} - \frac{arcsin ( \frac{3}{4} )}{10} + \frac{πn}{5}

x = \frac{π}{10} - \frac{arcsin ( \frac{3}{4} )}{10} + \frac{πn}{5}

x = \frac{arcsin ( \frac{3}{4} )}{10} + \frac{πn}{5}, x = \frac{π}{10} - \frac{arcsin ( \frac{3}{4} )}{10} + \frac{πn}{5}

Mostrar soluciones en forma decimal

x = \frac{0.84806 \dots}{10} + \frac{πn}{5}, x = \frac{π}{10} - \frac{0.84806 \dots}{10} + \frac{πn}{5}

Gráfica

Ejemplos populares

sin (z) = 2

tan (2 θ) = 1

cos (t) = 1

tan (x) = \frac{2}{5}

- sin (x) = 1