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Popular Trigonometria >

((0.871.04sin(20-x))/(0.4))=0.05

Solução

(\frac{0.87 \cdot 1.04 \cdot sin ( 2 0 ^{\circ} - x )}{0.4}) = 0.05

Solução

x = - 36 0^{\circ} n + 2 0^{\circ} - 0.02210 \dots, x = - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + 0.02210 \dots

Radianos

x = \frac{π}{9} - 0.02210 \dots - 2 πn, x = - π + \frac{π}{9} + 0.02210 \dots - 2 πn

Passos da solução

(\frac{0.87 \cdot 1.04 sin ( 2 0 ^{\circ} - x )}{0.4}) = 0.05

Multiplicar ambos os lados por

0.4

\frac{0.87 \cdot 1.04 sin ( 2 0 ^{\circ} - x )}{0.4} = 0.05

Multiplicar ambos os lados por

0.4

\frac{0.4 \cdot 0.87 \cdot 1.04 sin ( 2 0 ^{\circ} - x )}{0.4} = 0.05 \cdot 0.4

Simplificar

0.9048 sin (2 0^{\circ} - x) = 0.02

0.9048 sin (2 0^{\circ} - x) = 0.02

Dividir ambos os lados por

0.9048

0.9048 sin (2 0^{\circ} - x) = 0.02

Dividir ambos os lados por

0.9048

\frac{0.9048 sin ( 2 0 ^{\circ} - x )}{0.9048} = \frac{0.02}{0.9048}

Simplificar

sin (2 0^{\circ} - x) = 0.02210 \dots

sin (2 0^{\circ} - x) = 0.02210 \dots

Aplique as propriedades trigonométricas inversas

sin (2 0^{\circ} - x) = 0.02210 \dots

Soluções gerais para

sin (2 0^{\circ} - x) = 0.02210 \dots

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

2 0^{\circ} - x = arcsin (0.02210 \dots) + 36 0^{\circ} n, 2 0^{\circ} - x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n

2 0^{\circ} - x = arcsin (0.02210 \dots) + 36 0^{\circ} n, 2 0^{\circ} - x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n

Resolver

2 0^{\circ} - x = arcsin (0.02210 \dots) + 36 0^{\circ} n : x = - 36 0^{\circ} n + 2 0^{\circ} - arcsin (0.02210 \dots)

2 0^{\circ} - x = arcsin (0.02210 \dots) + 36 0^{\circ} n

Mova

2 0^{\circ}

para o lado direito

2 0^{\circ} - x = arcsin (0.02210 \dots) + 36 0^{\circ} n

Subtrair

2 0^{\circ}

de ambos os lados

2 0^{\circ} - x - 2 0^{\circ} = arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

Simplificar

- x = arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

- x = arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

Dividir ambos os lados por

- 1

- x = arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

Dividir ambos os lados por

- 1

\frac{- x}{- 1} = \frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1}

Simplificar

\frac{- x}{- 1} = \frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1}

Simplificar

\frac{- x}{- 1} : x

\frac{- x}{- 1}

Aplicar as propriedades das frações:

\frac{- a}{- b} = \frac{a}{b}

= \frac{x}{1}

Aplicar a regra

\frac{a}{1} = a

= x

Simplificar

\frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1} : - 36 0^{\circ} n + 2 0^{\circ} - arcsin (0.02210 \dots)

\frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1}

Agrupar termos semelhantes

= \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1} + \frac{arcsin ( 0.02210 \dots )}{- 1}

\frac{36 0 ^{\circ} n}{- 1} = - 36 0^{\circ} n

\frac{36 0 ^{\circ} n}{- 1}

Aplicar as propriedades das frações:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{36 0 ^{\circ} n}{1}

Aplicar a regra

\frac{a}{1} = a

= - 36 0^{\circ} n

= - 36 0^{\circ} n - \frac{2 0 ^{\circ}}{- 1} + \frac{arcsin ( 0.02210 \dots )}{- 1}

\frac{2 0 ^{\circ}}{- 1} = - 2 0^{\circ}

\frac{2 0 ^{\circ}}{- 1}

Aplicar as propriedades das frações:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{2 0 ^{\circ}}{1}

Aplicar as propriedades das frações:

\frac{a}{1} = a

\frac{2 0 ^{\circ}}{1} = 2 0^{\circ}

= - 2 0^{\circ}

\frac{arcsin ( 0.02210 \dots )}{- 1} = - arcsin (0.02210 \dots)

\frac{arcsin ( 0.02210 \dots )}{- 1}

Aplicar as propriedades das frações:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{arcsin ( 0.02210 \dots )}{1}

Aplicar a regra

\frac{a}{1} = a

= - arcsin (0.02210 \dots)

= - 36 0^{\circ} n - (- 2 0^{\circ}) - arcsin (0.02210 \dots)

Aplicar a regra

- (- a) = a

= - 36 0^{\circ} n + 2 0^{\circ} - arcsin (0.02210 \dots)

x = - 36 0^{\circ} n + 2 0^{\circ} - arcsin (0.02210 \dots)

x = - 36 0^{\circ} n + 2 0^{\circ} - arcsin (0.02210 \dots)

x = - 36 0^{\circ} n + 2 0^{\circ} - arcsin (0.02210 \dots)

Resolver

2 0^{\circ} - x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n : x = - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + arcsin (0.02210 \dots)

2 0^{\circ} - x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n

Mova

2 0^{\circ}

para o lado direito

2 0^{\circ} - x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n

Subtrair

2 0^{\circ}

de ambos os lados

2 0^{\circ} - x - 2 0^{\circ} = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

Simplificar

- x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

- x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

Dividir ambos os lados por

- 1

- x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

Dividir ambos os lados por

- 1

\frac{- x}{- 1} = \frac{18 0 ^{\circ}}{- 1} - \frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1}

Simplificar

\frac{- x}{- 1} = \frac{18 0 ^{\circ}}{- 1} - \frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1}

Simplificar

\frac{- x}{- 1} : x

\frac{- x}{- 1}

Aplicar as propriedades das frações:

\frac{- a}{- b} = \frac{a}{b}

= \frac{x}{1}

Aplicar a regra

\frac{a}{1} = a

= x

Simplificar

\frac{18 0 ^{\circ}}{- 1} - \frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1} : - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + arcsin (0.02210 \dots)

\frac{18 0 ^{\circ}}{- 1} - \frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1}

Agrupar termos semelhantes

= \frac{18 0 ^{\circ}}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1} - \frac{arcsin ( 0.02210 \dots )}{- 1}

\frac{18 0 ^{\circ}}{- 1} = - 18 0^{\circ}

\frac{18 0 ^{\circ}}{- 1}

Aplicar as propriedades das frações:

\frac{a}{- b} = - \frac{a}{b}

= - 18 0^{\circ}

Aplicar a regra

\frac{a}{1} = a

= - 18 0^{\circ}

= - 18 0^{\circ} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1} - \frac{arcsin ( 0.02210 \dots )}{- 1}

\frac{36 0 ^{\circ} n}{- 1} = - 36 0^{\circ} n

\frac{36 0 ^{\circ} n}{- 1}

Aplicar as propriedades das frações:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{36 0 ^{\circ} n}{1}

Aplicar a regra

\frac{a}{1} = a

= - 36 0^{\circ} n

= - 18 0^{\circ} - 36 0^{\circ} n - \frac{2 0 ^{\circ}}{- 1} - \frac{arcsin ( 0.02210 \dots )}{- 1}

\frac{2 0 ^{\circ}}{- 1} = - 2 0^{\circ}

\frac{2 0 ^{\circ}}{- 1}

Aplicar as propriedades das frações:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{2 0 ^{\circ}}{1}

Aplicar as propriedades das frações:

\frac{a}{1} = a

\frac{2 0 ^{\circ}}{1} = 2 0^{\circ}

= - 2 0^{\circ}

\frac{arcsin ( 0.02210 \dots )}{- 1} = - arcsin (0.02210 \dots)

\frac{arcsin ( 0.02210 \dots )}{- 1}

Aplicar as propriedades das frações:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{arcsin ( 0.02210 \dots )}{1}

Aplicar a regra

\frac{a}{1} = a

= - arcsin (0.02210 \dots)

= - 18 0^{\circ} - 36 0^{\circ} n - (- 2 0^{\circ}) - (- arcsin (0.02210 \dots))

Aplicar a regra

- (- a) = a

= - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + arcsin (0.02210 \dots)

x = - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + arcsin (0.02210 \dots)

x = - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + arcsin (0.02210 \dots)

x = - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + arcsin (0.02210 \dots)

x = - 36 0^{\circ} n + 2 0^{\circ} - arcsin (0.02210 \dots), x = - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + arcsin (0.02210 \dots)

Mostrar soluções na forma decimal

x = - 36 0^{\circ} n + 2 0^{\circ} - 0.02210 \dots, x = - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + 0.02210 \dots

Gráfico

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cot^{(2)}(x)-csc(x)-1=0

cot^{(2)} (x) - csc (x) - 1 = 0

4sin(x)+1=3csc(x)

4 sin (x) + 1 = 3 csc (x)

((0.87*1.04*sin(20-x))/(0.4))=0.05

Solução

Solução

Gráfico

Exemplos populares

((0.871.04sin(20-x))/(0.4))=0.05