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Popular Trigonometría >

3sin(x+20)-0.75=0

Solución

3 sin (x + 2 0^{\circ}) - 0.75 = 0

Solución

x = 0.25268 \dots + 36 0^{\circ} n - 2 0^{\circ}, x = 18 0^{\circ} - 0.25268 \dots + 36 0^{\circ} n - 2 0^{\circ}

+1

Radianes

x = 0.25268 \dots - \frac{π}{9} + 2 πn, x = π - 0.25268 \dots - \frac{π}{9} + 2 πn

Pasos de solución

3 sin (x + 2 0^{\circ}) - 0.75 = 0

Desplace

0.75

a la derecha

3 sin (x + 2 0^{\circ}) - 0.75 = 0

Sumar

0.75

a ambos lados

3 sin (x + 2 0^{\circ}) - 0.75 + 0.75 = 0 + 0.75

Simplificar

3 sin (x + 2 0^{\circ}) = 0.75

3 sin (x + 2 0^{\circ}) = 0.75

Dividir ambos lados entre

3

3 sin (x + 2 0^{\circ}) = 0.75

Dividir ambos lados entre

3

\frac{3 sin ( x + 2 0 ^{\circ} )}{3} = \frac{0.75}{3}

Simplificar

sin (x + 2 0^{\circ}) = 0.25

sin (x + 2 0^{\circ}) = 0.25

Aplicar propiedades trigonométricas inversas

sin (x + 2 0^{\circ}) = 0.25

Soluciones generales para

sin (x + 2 0^{\circ}) = 0.25

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

x + 2 0^{\circ} = arcsin (0.25) + 36 0^{\circ} n, x + 2 0^{\circ} = 18 0^{\circ} - arcsin (0.25) + 36 0^{\circ} n

x + 2 0^{\circ} = arcsin (0.25) + 36 0^{\circ} n, x + 2 0^{\circ} = 18 0^{\circ} - arcsin (0.25) + 36 0^{\circ} n

Resolver

x + 2 0^{\circ} = arcsin (0.25) + 36 0^{\circ} n : x = arcsin (0.25) + 36 0^{\circ} n - 2 0^{\circ}

x + 2 0^{\circ} = arcsin (0.25) + 36 0^{\circ} n

Desplace

2 0^{\circ}

a la derecha

x + 2 0^{\circ} = arcsin (0.25) + 36 0^{\circ} n

Restar

2 0^{\circ}

de ambos lados

x + 2 0^{\circ} - 2 0^{\circ} = arcsin (0.25) + 36 0^{\circ} n - 2 0^{\circ}

Simplificar

x = arcsin (0.25) + 36 0^{\circ} n - 2 0^{\circ}

x = arcsin (0.25) + 36 0^{\circ} n - 2 0^{\circ}

Resolver

x + 2 0^{\circ} = 18 0^{\circ} - arcsin (0.25) + 36 0^{\circ} n : x = 18 0^{\circ} - arcsin (0.25) + 36 0^{\circ} n - 2 0^{\circ}

x + 2 0^{\circ} = 18 0^{\circ} - arcsin (0.25) + 36 0^{\circ} n

Desplace

2 0^{\circ}

a la derecha

x + 2 0^{\circ} = 18 0^{\circ} - arcsin (0.25) + 36 0^{\circ} n

Restar

2 0^{\circ}

de ambos lados

x + 2 0^{\circ} - 2 0^{\circ} = 18 0^{\circ} - arcsin (0.25) + 36 0^{\circ} n - 2 0^{\circ}

Simplificar

x = 18 0^{\circ} - arcsin (0.25) + 36 0^{\circ} n - 2 0^{\circ}

x = 18 0^{\circ} - arcsin (0.25) + 36 0^{\circ} n - 2 0^{\circ}

x = arcsin (0.25) + 36 0^{\circ} n - 2 0^{\circ}, x = 18 0^{\circ} - arcsin (0.25) + 36 0^{\circ} n - 2 0^{\circ}

Mostrar soluciones en forma decimal

x = 0.25268 \dots + 36 0^{\circ} n - 2 0^{\circ}, x = 18 0^{\circ} - 0.25268 \dots + 36 0^{\circ} n - 2 0^{\circ}

Gráfica

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