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3/2 =2*25sin(θ/2)

Solución

\frac{3}{2} = 2 \cdot 25 sin (\frac{θ}{2})

Solución

θ = 2 \cdot 0.03000 \dots + 4 πn, θ = 2 π - 2 \cdot 0.03000 \dots + 4 πn

Grados

θ = 3.43826 \dots^{\circ} + 72 0^{\circ} n, θ = 356.56173 \dots^{\circ} + 72 0^{\circ} n

Pasos de solución

\frac{3}{2} = 2 \cdot 25 sin (\frac{θ}{2})

Intercambiar lados

2 \cdot 25 sin (\frac{θ}{2}) = \frac{3}{2}

Dividir ambos lados entre

50

2 \cdot 25 sin (\frac{θ}{2}) = \frac{3}{2}

Dividir ambos lados entre

50

\frac{2 \cdot 25 sin ( \frac{θ}{2} )}{50} = \frac{\frac{3}{2}}{50}

Simplificar

\frac{2 \cdot 25 sin ( \frac{θ}{2} )}{50} = \frac{\frac{3}{2}}{50}

Simplificar

\frac{2 \cdot 25 sin ( \frac{θ}{2} )}{50} : sin (\frac{θ}{2})

\frac{2 \cdot 25 sin ( \frac{θ}{2} )}{50}

Multiplicar los numeros:

2 \cdot 25 = 50

= \frac{50 sin ( \frac{θ}{2} )}{50}

Dividir:

\frac{50}{50} = 1

= sin (\frac{θ}{2})

Simplificar

\frac{\frac{3}{2}}{50} : \frac{3}{100}

\frac{\frac{3}{2}}{50}

Aplicar las propiedades de las fracciones:

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

= \frac{3}{2 \cdot 50}

Multiplicar los numeros:

2 \cdot 50 = 100

= \frac{3}{100}

sin (\frac{θ}{2}) = \frac{3}{100}

sin (\frac{θ}{2}) = \frac{3}{100}

sin (\frac{θ}{2}) = \frac{3}{100}

Aplicar propiedades trigonométricas inversas

sin (\frac{θ}{2}) = \frac{3}{100}

Soluciones generales para

sin (\frac{θ}{2}) = \frac{3}{100}

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

\frac{θ}{2} = arcsin (\frac{3}{100}) + 2 πn, \frac{θ}{2} = π - arcsin (\frac{3}{100}) + 2 πn

\frac{θ}{2} = arcsin (\frac{3}{100}) + 2 πn, \frac{θ}{2} = π - arcsin (\frac{3}{100}) + 2 πn

Resolver

\frac{θ}{2} = arcsin (\frac{3}{100}) + 2 πn : θ = 2 arcsin (\frac{3}{100}) + 4 πn

\frac{θ}{2} = arcsin (\frac{3}{100}) + 2 πn

Multiplicar ambos lados por

2

\frac{θ}{2} = arcsin (\frac{3}{100}) + 2 πn

Multiplicar ambos lados por

2

\frac{2 θ}{2} = 2 arcsin (\frac{3}{100}) + 2 \cdot 2 πn

Simplificar

\frac{2 θ}{2} = 2 arcsin (\frac{3}{100}) + 2 \cdot 2 πn

Simplificar

\frac{2 θ}{2} : θ

\frac{2 θ}{2}

Dividir:

\frac{2}{2} = 1

= θ

Simplificar

2 arcsin (\frac{3}{100}) + 2 \cdot 2 πn : 2 arcsin (\frac{3}{100}) + 4 πn

2 arcsin (\frac{3}{100}) + 2 \cdot 2 πn

Multiplicar los numeros:

2 \cdot 2 = 4

= 2 arcsin (\frac{3}{100}) + 4 πn

θ = 2 arcsin (\frac{3}{100}) + 4 πn

θ = 2 arcsin (\frac{3}{100}) + 4 πn

θ = 2 arcsin (\frac{3}{100}) + 4 πn

Resolver

\frac{θ}{2} = π - arcsin (\frac{3}{100}) + 2 πn : θ = 2 π - 2 arcsin (\frac{3}{100}) + 4 πn

\frac{θ}{2} = π - arcsin (\frac{3}{100}) + 2 πn

Multiplicar ambos lados por

2

\frac{θ}{2} = π - arcsin (\frac{3}{100}) + 2 πn

Multiplicar ambos lados por

2

\frac{2 θ}{2} = 2 π - 2 arcsin (\frac{3}{100}) + 2 \cdot 2 πn

Simplificar

\frac{2 θ}{2} = 2 π - 2 arcsin (\frac{3}{100}) + 2 \cdot 2 πn

Simplificar

\frac{2 θ}{2} : θ

\frac{2 θ}{2}

Dividir:

\frac{2}{2} = 1

= θ

Simplificar

2 π - 2 arcsin (\frac{3}{100}) + 2 \cdot 2 πn : 2 π - 2 arcsin (\frac{3}{100}) + 4 πn

2 π - 2 arcsin (\frac{3}{100}) + 2 \cdot 2 πn

Multiplicar los numeros:

2 \cdot 2 = 4

= 2 π - 2 arcsin (\frac{3}{100}) + 4 πn

θ = 2 π - 2 arcsin (\frac{3}{100}) + 4 πn

θ = 2 π - 2 arcsin (\frac{3}{100}) + 4 πn

θ = 2 π - 2 arcsin (\frac{3}{100}) + 4 πn

θ = 2 arcsin (\frac{3}{100}) + 4 πn, θ = 2 π - 2 arcsin (\frac{3}{100}) + 4 πn

Mostrar soluciones en forma decimal

θ = 2 \cdot 0.03000 \dots + 4 πn, θ = 2 π - 2 \cdot 0.03000 \dots + 4 πn

Ejemplos populares

sin^2(x)-sin(x)-12=0

sin^{2} (x) - sin (x) - 12 = 0

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sec(θ/2)=cos(θ/2)

sec (\frac{θ}{2}) = cos (\frac{θ}{2})

2cos^2(x)-1.28=0

2 cos^{2} (x) - 1.28 = 0

cos^3(3θ)= 1/4

cos^{3} (3 θ) = \frac{1}{4}