pt

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Trigonometria >

-0.002=sin(2pi*(3)-500pi(0)+x)

Solução

- 0.002 = sin (2 π \cdot (3) - 500 π (0) + x)

Solução

x = - 0.00200 \dots + 2 πn - 6 π, x = - 5 π + 2 πn + 0.00200 \dots

+1

Graus

x = - 1080.11459 \dots^{\circ} + 36 0^{\circ} n, x = - 899.88540 \dots^{\circ} + 36 0^{\circ} n

Passos da solução

- 0.002 = sin (2 π (3) - 500 π (0) + x)

Trocar lados

sin (2 π 3 - 500 π 0 + x) = - 0.002

Aplique as propriedades trigonométricas inversas

sin (2 π 3 - 500 π 0 + x) = - 0.002

Soluções gerais para

sin (2 π 3 - 500 π 0 + x) = - 0.002

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

2 π 3 - 500 π 0 + x = arcsin (- 0.002) + 2 πn, 2 π 3 - 500 π 0 + x = π + arcsin (0.002) + 2 πn

2 π 3 - 500 π 0 + x = arcsin (- 0.002) + 2 πn, 2 π 3 - 500 π 0 + x = π + arcsin (0.002) + 2 πn

Resolver

2 π 3 - 500 π 0 + x = arcsin (- 0.002) + 2 πn : x = - arcsin (\frac{1}{500}) + 2 πn - 6 π

2 π 3 - 500 π 0 + x = arcsin (- 0.002) + 2 πn

Simplificar

2 π 3 - 500 π 0 + x : x + 6 π

2 π 3 - 500 π 0 + x

Multiplicar os números:

2 \cdot 3 = 6

= 6 π - 500 \cdot 0 π + x

Aplicar a regra

0 \cdot a = 0

= 6 π - 0 + x

6 π - 0 + x = 6 π + x

= x + 6 π

Simplificar

arcsin (- 0.002) + 2 πn : - arcsin (\frac{1}{500}) + 2 πn

arcsin (- 0.002) + 2 πn

arcsin (- 0.002) = - arcsin (\frac{1}{500})

arcsin (- 0.002)

= arcsin (- \frac{1}{500})

Utilizar a seguinte propriedade:

arcsin (- x) = - arcsin (x)

arcsin (- \frac{1}{500}) = - arcsin (\frac{1}{500})

= - arcsin (\frac{1}{500})

= - arcsin (\frac{1}{500}) + 2 πn

x + 6 π = - arcsin (\frac{1}{500}) + 2 πn

Mova

6 π

para o lado direito

x + 6 π = - arcsin (\frac{1}{500}) + 2 πn

Subtrair

6 π

de ambos os lados

x + 6 π - 6 π = - arcsin (\frac{1}{500}) + 2 πn - 6 π

Simplificar

x = - arcsin (\frac{1}{500}) + 2 πn - 6 π

x = - arcsin (\frac{1}{500}) + 2 πn - 6 π

Resolver

2 π 3 - 500 π 0 + x = π + arcsin (0.002) + 2 πn : x = - 5 π + 2 πn + arcsin (0.002)

2 π 3 - 500 π 0 + x = π + arcsin (0.002) + 2 πn

Multiplicar os números:

2 \cdot 3 = 6

6 π - 500 \cdot 0 π + x = π + arcsin (0.002) + 2 πn

Aplicar a regra

0 \cdot a = 0

6 π - 0 + x = π + arcsin (0.002) + 2 πn

6 π - 0 + x = 6 π + x

x + 6 π = π + arcsin (0.002) + 2 πn

Mova

6 π

para o lado direito

x + 6 π = π + arcsin (0.002) + 2 πn

Subtrair

6 π

de ambos os lados

x + 6 π - 6 π = π + arcsin (0.002) + 2 πn - 6 π

Simplificar

x = - 5 π + 2 πn + arcsin (0.002)

x = - 5 π + 2 πn + arcsin (0.002)

x = - arcsin (\frac{1}{500}) + 2 πn - 6 π, x = - 5 π + 2 πn + arcsin (0.002)

Mostrar soluções na forma decimal

x = - 0.00200 \dots + 2 πn - 6 π, x = - 5 π + 2 πn + 0.00200 \dots

Gráfico

Exemplos populares

3tan(2x-pi/2)=2sin(pi/3)

3 tan (2 x - \frac{π}{2}) = 2 sin (\frac{π}{3})

2tan(x)-2=0,0<= x<= 2pi

2 tan (x) - 2 = 0, 0 \leq x \leq 2 π

tan(35)tan(56-x)=1

tan (3 5^{\circ}) tan (5 6^{\circ} - x) = 1

42.25=0.1681cos(b)

42.25 = 0.1681 cos (b)

(tan(3x))/(tan(2x))=1

\frac{tan ( 3 x )}{tan ( 2 x )} = 1