English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Trigonometria >

20=2.891sin(0.016d-1.183)+18.512

Solução

20 = 2.891 sin (0.016 d - 1.183) + 18.512

Solução

d = \frac{0.54065 \dots}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}, d = \frac{π}{0.016} - \frac{0.54065 \dots}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

Graus

d = 6172.39781 \dots^{\circ} + 2250 0^{\circ} n, d = 13550.21558 \dots^{\circ} + 2250 0^{\circ} n

Passos da solução

20 = 2.891 sin (0.016 d - 1.183) + 18.512

Trocar lados

2.891 sin (0.016 d - 1.183) + 18.512 = 20

Multiplicar ambos os lados por

1000

2.891 sin (0.016 d - 1.183) + 18.512 = 20

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere are

3

digits to the right of the decimal point, therefore multiply by

1000

2.891 sin (0.016 d - 1.183) \cdot 1000 + 18.512 \cdot 1000 = 20 \cdot 1000

Simplificar

2891 sin (0.016 d - 1.183) + 18512 = 20000

2891 sin (0.016 d - 1.183) + 18512 = 20000

Mova

18512

para o lado direito

2891 sin (0.016 d - 1.183) + 18512 = 20000

Subtrair

18512

de ambos os lados

2891 sin (0.016 d - 1.183) + 18512 - 18512 = 20000 - 18512

Simplificar

2891 sin (0.016 d - 1.183) = 1488

2891 sin (0.016 d - 1.183) = 1488

Dividir ambos os lados por

2891

2891 sin (0.016 d - 1.183) = 1488

Dividir ambos os lados por

2891

\frac{2891 sin ( 0.016 d - 1.183 )}{2891} = \frac{1488}{2891}

Simplificar

sin (0.016 d - 1.183) = \frac{1488}{2891}

sin (0.016 d - 1.183) = \frac{1488}{2891}

Aplique as propriedades trigonométricas inversas

sin (0.016 d - 1.183) = \frac{1488}{2891}

Soluções gerais para

sin (0.016 d - 1.183) = \frac{1488}{2891}

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

0.016 d - 1.183 = arcsin (\frac{1488}{2891}) + 2 πn, 0.016 d - 1.183 = π - arcsin (\frac{1488}{2891}) + 2 πn

0.016 d - 1.183 = arcsin (\frac{1488}{2891}) + 2 πn, 0.016 d - 1.183 = π - arcsin (\frac{1488}{2891}) + 2 πn

Resolver

0.016 d - 1.183 = arcsin (\frac{1488}{2891}) + 2 πn : d = \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

0.016 d - 1.183 = arcsin (\frac{1488}{2891}) + 2 πn

Mova

1.183

para o lado direito

0.016 d - 1.183 = arcsin (\frac{1488}{2891}) + 2 πn

Adicionar

1.183

a ambos os lados

0.016 d - 1.183 + 1.183 = arcsin (\frac{1488}{2891}) + 2 πn + 1.183

Simplificar

0.016 d = arcsin (\frac{1488}{2891}) + 2 πn + 1.183

0.016 d = arcsin (\frac{1488}{2891}) + 2 πn + 1.183

Dividir ambos os lados por

0.016

0.016 d = arcsin (\frac{1488}{2891}) + 2 πn + 1.183

Dividir ambos os lados por

0.016

\frac{0.016 d}{0.016} = \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

Simplificar

d = \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

d = \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

Resolver

0.016 d - 1.183 = π - arcsin (\frac{1488}{2891}) + 2 πn : d = \frac{π}{0.016} - \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

0.016 d - 1.183 = π - arcsin (\frac{1488}{2891}) + 2 πn

Mova

1.183

para o lado direito

0.016 d - 1.183 = π - arcsin (\frac{1488}{2891}) + 2 πn

Adicionar

1.183

a ambos os lados

0.016 d - 1.183 + 1.183 = π - arcsin (\frac{1488}{2891}) + 2 πn + 1.183

Simplificar

0.016 d = π - arcsin (\frac{1488}{2891}) + 2 πn + 1.183

0.016 d = π - arcsin (\frac{1488}{2891}) + 2 πn + 1.183

Dividir ambos os lados por

0.016

0.016 d = π - arcsin (\frac{1488}{2891}) + 2 πn + 1.183

Dividir ambos os lados por

0.016

\frac{0.016 d}{0.016} = \frac{π}{0.016} - \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

Simplificar

d = \frac{π}{0.016} - \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

d = \frac{π}{0.016} - \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

d = \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}, d = \frac{π}{0.016} - \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

Mostrar soluções na forma decimal

d = \frac{0.54065 \dots}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}, d = \frac{π}{0.016} - \frac{0.54065 \dots}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

Gráfico

Exemplos populares

2sin(θ)=-1,0<= θ<2pi

2 sin (θ) = - 1, 0 \leq θ < 2 π

cos(16x)=0

cos (16 x) = 0

sin(θ)=-(sqrt(35))/6

sin (θ) = - \frac{35}{6}

0.6=cos(x)

0.6 = cos (x)

3tan^3(x)-1=0

3 tan^{3} (x) - 1 = 0