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Popular Trigonometria >

1.5sin(30)=sin(x)

Solução

1.5 sin (3 0^{\circ}) = sin (x)

Solução

x = 0.84806 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.84806 \dots + 36 0^{\circ} n

+1

Radianos

x = 0.84806 \dots + 2 πn, x = π - 0.84806 \dots + 2 πn

Passos da solução

1.5 sin (3 0^{\circ}) = sin (x)

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 0^{\circ})

Utilizar a seguinte identidade trivial:

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 0^{\circ})

sin (x)

tabela de periodicidade com ciclo de

36 0^{\circ} n

:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{1}{2}

= \frac{1}{2}

1.5 \cdot \frac{1}{2} = sin (x)

Trocar lados

sin (x) = 1.5 \cdot \frac{1}{2}

Simplificar

1.5 \cdot \frac{1}{2} : \frac{1.5}{2}

1.5 \cdot \frac{1}{2}

Multiplicar frações:

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

= \frac{1 \cdot 1.5}{2}

Multiplicar os números:

1 \cdot 1.5 = 1.5

= \frac{1.5}{2}

Aplique as propriedades trigonométricas inversas

sin (x) = \frac{1.5}{2}

Soluções gerais para

sin (x) = \frac{1.5}{2}

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

x = arcsin (\frac{1.5}{2}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{1.5}{2}) + 36 0^{\circ} n

x = arcsin (\frac{1.5}{2}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{1.5}{2}) + 36 0^{\circ} n

Mostrar soluções na forma decimal

x = 0.84806 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.84806 \dots + 36 0^{\circ} n

Gráfico

Exemplos populares

sqrt(3)sin(x)-3cos(x)=sqrt(6)

3 sin (x) - 3 cos (x) = 6

sin(x)= 4/(sqrt(41))

sin (x) = \frac{4}{41}

sin (x) = - 1.1

cos (2 x) = 0.25

sin (x) = - 0.1