es

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(sin(θ))/(60)=(sin(80))/(280.87)

Solución

\frac{sin ( θ )}{60} = \frac{sin ( 8 0 ^{\circ} )}{280.87}

Solución

θ = 0.21196 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.21196 \dots + 36 0^{\circ} n

+1

radianes

θ = 0.21196 \dots + 2 πn, θ = π - 0.21196 \dots + 2 πn

Pasos de solución

\frac{sin ( θ )}{60} = \frac{sin ( 8 0 ^{\circ} )}{280.87}

Multiplicar ambos lados por

10

\frac{sin ( θ )}{60} = \frac{sin ( 8 0 ^{\circ} )}{280.87}

Multiplicar ambos lados por

10

\frac{sin ( θ )}{60} \cdot 10 = \frac{sin ( 8 0 ^{\circ} )}{280.87} \cdot 10

Simplificar

\frac{sin ( θ )}{60} \cdot 10 = \frac{sin ( 8 0 ^{\circ} )}{280.87} \cdot 10

Simplificar

\frac{sin ( θ )}{60} \cdot 10 : \frac{sin ( θ )}{6}

\frac{sin ( θ )}{60} \cdot 10

Multiplicar fracciones:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{sin ( θ ) \cdot 10}{60}

Eliminar los terminos comunes:

10

= \frac{sin ( θ )}{6}

Simplificar

\frac{sin ( 8 0 ^{\circ} )}{280.87} \cdot 10 : \frac{10 sin ( 8 0 ^{\circ} )}{280.87}

\frac{sin ( 8 0 ^{\circ} )}{280.87} \cdot 10

Multiplicar fracciones:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{sin ( 8 0 ^{\circ} ) \cdot 10}{280.87}

\frac{sin ( θ )}{6} = \frac{10 sin ( 8 0 ^{\circ} )}{280.87}

\frac{sin ( θ )}{6} = \frac{10 sin ( 8 0 ^{\circ} )}{280.87}

\frac{sin ( θ )}{6} = \frac{10 sin ( 8 0 ^{\circ} )}{280.87}

Multiplicar ambos lados por

6

\frac{sin ( θ )}{6} = \frac{10 sin ( 8 0 ^{\circ} )}{280.87}

Multiplicar ambos lados por

6

\frac{6 sin ( θ )}{6} = \frac{6 \cdot 10 sin ( 8 0 ^{\circ} )}{280.87}

Simplificar

\frac{6 sin ( θ )}{6} = \frac{6 \cdot 10 sin ( 8 0 ^{\circ} )}{280.87}

Simplificar

\frac{6 sin ( θ )}{6} : sin (θ)

\frac{6 sin ( θ )}{6}

Dividir:

\frac{6}{6} = 1

= sin (θ)

Simplificar

\frac{6 \cdot 10 sin ( 8 0 ^{\circ} )}{280.87} : \frac{60 sin ( 8 0 ^{\circ} )}{280.87}

\frac{6 \cdot 10 sin ( 8 0 ^{\circ} )}{280.87}

Multiplicar los numeros:

6 \cdot 10 = 60

= \frac{60 sin ( 8 0 ^{\circ} )}{280.87}

sin (θ) = \frac{60 sin ( 8 0 ^{\circ} )}{280.87}

sin (θ) = \frac{60 sin ( 8 0 ^{\circ} )}{280.87}

sin (θ) = \frac{60 sin ( 8 0 ^{\circ} )}{280.87}

Aplicar propiedades trigonométricas inversas

sin (θ) = \frac{60 sin ( 8 0 ^{\circ} )}{280.87}

Soluciones generales para

sin (θ) = \frac{60 sin ( 8 0 ^{\circ} )}{280.87}

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

θ = arcsin (\frac{60 sin ( 8 0 ^{\circ} )}{280.87}) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (\frac{60 sin ( 8 0 ^{\circ} )}{280.87}) + 36 0^{\circ} n

θ = arcsin (\frac{60 sin ( 8 0 ^{\circ} )}{280.87}) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (\frac{60 sin ( 8 0 ^{\circ} )}{280.87}) + 36 0^{\circ} n

Mostrar soluciones en forma decimal

θ = 0.21196 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.21196 \dots + 36 0^{\circ} n

Ejemplos populares

5.63=11cos((2pi)/T 0.137)

5.63 = 11 cos (\frac{2 π}{T} 0.137)

2cos(x)-sin(x)=2

2 cos (x) - sin (x) = 2

solvefor x=2arctan(z),z resolver para

x = 2 arctan (z), z

- 4 - 6 cos (θ) = - 7

cot(x)-csc(x)=sqrt(3)

cot (x) - csc (x) = 3