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Popular >

(sin(b))/(300)=(sin(49))/(500)

Solución

\frac{sin ( b )}{300} = \frac{sin ( 4 9 ^{\circ} )}{500}

Solución

b = 0.46993 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 0.46993 \dots + 36 0^{\circ} n

+1

radianes

b = 0.46993 \dots + 2 πn, b = π - 0.46993 \dots + 2 πn

Pasos de solución

\frac{sin ( b )}{300} = \frac{sin ( 4 9 ^{\circ} )}{500}

Multiplicar ambos lados por

100

\frac{sin ( b )}{300} = \frac{sin ( 4 9 ^{\circ} )}{500}

Multiplicar ambos lados por

100

\frac{sin ( b )}{300} \cdot 100 = \frac{sin ( 4 9 ^{\circ} )}{500} \cdot 100

Simplificar

\frac{sin ( b )}{300} \cdot 100 = \frac{sin ( 4 9 ^{\circ} )}{500} \cdot 100

Simplificar

\frac{sin ( b )}{300} \cdot 100 : \frac{sin ( b )}{3}

\frac{sin ( b )}{300} \cdot 100

Multiplicar fracciones:

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

= \frac{sin ( b ) \cdot 100}{300}

Eliminar los terminos comunes:

100

= \frac{sin ( b )}{3}

Simplificar

\frac{sin ( 4 9 ^{\circ} )}{500} \cdot 100 : \frac{sin ( 4 9 ^{\circ} )}{5}

\frac{sin ( 4 9 ^{\circ} )}{500} \cdot 100

Multiplicar fracciones:

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

= \frac{sin ( 4 9 ^{\circ} ) \cdot 100}{500}

Eliminar los terminos comunes:

100

= \frac{sin ( 4 9 ^{\circ} )}{5}

\frac{sin ( b )}{3} = \frac{sin ( 4 9 ^{\circ} )}{5}

\frac{sin ( b )}{3} = \frac{sin ( 4 9 ^{\circ} )}{5}

\frac{sin ( b )}{3} = \frac{sin ( 4 9 ^{\circ} )}{5}

Multiplicar ambos lados por

3

\frac{sin ( b )}{3} = \frac{sin ( 4 9 ^{\circ} )}{5}

Multiplicar ambos lados por

3

\frac{3 sin ( b )}{3} = \frac{3 sin ( 4 9 ^{\circ} )}{5}

Simplificar

sin (b) = \frac{3 sin ( 4 9 ^{\circ} )}{5}

sin (b) = \frac{3 sin ( 4 9 ^{\circ} )}{5}

Aplicar propiedades trigonométricas inversas

sin (b) = \frac{3 sin ( 4 9 ^{\circ} )}{5}

Soluciones generales para

sin (b) = \frac{3 sin ( 4 9 ^{\circ} )}{5}

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

b = arcsin (\frac{3 sin ( 4 9 ^{\circ} )}{5}) + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin (\frac{3 sin ( 4 9 ^{\circ} )}{5}) + 36 0^{\circ} n

b = arcsin (\frac{3 sin ( 4 9 ^{\circ} )}{5}) + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin (\frac{3 sin ( 4 9 ^{\circ} )}{5}) + 36 0^{\circ} n

Mostrar soluciones en forma decimal

b = 0.46993 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 0.46993 \dots + 36 0^{\circ} n

Ejemplos populares

sin(θ)=cos(2θ+60)

sin (θ) = cos (2 θ + 6 0^{\circ})

tan(θ)=(-12)/5

tan (θ) = \frac{- 12}{5}

(1+tan(x/2))/(1-tan(x/2))=sqrt(4.137131)

\frac{1 + tan ( \frac{x}{2} )}{1 - tan ( \frac{x}{2} )} = 4.137131

cos (θ) = 0.51

csc(θ)=(-2sqrt(3))/3

csc (θ) = \frac{- 2 3}{3}