English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Trigonometria >

sin(120pit)=0.06141

Solução

sin (120 \cdot π \cdot t) = 0.06141

Solução

t = \frac{0.06144 \dots}{120 π} + \frac{n}{60}, t = \frac{1}{120} - \frac{0.06144 \dots}{120 π} + \frac{n}{60}

Graus

t = 0.00933 \dots^{\circ} + 0.95492 \dots^{\circ} n, t = 0.46812 \dots^{\circ} + 0.95492 \dots^{\circ} n

Passos da solução

sin (120 π t) = 0.06141

Aplique as propriedades trigonométricas inversas

sin (120 π t) = 0.06141

Soluções gerais para

sin (120 π t) = 0.06141

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

120 π t = arcsin (0.06141) + 2 πn, 120 π t = π - arcsin (0.06141) + 2 πn

120 π t = arcsin (0.06141) + 2 πn, 120 π t = π - arcsin (0.06141) + 2 πn

Resolver

120 π t = arcsin (0.06141) + 2 πn : t = \frac{arcsin ( 0.06141 )}{120 π} + \frac{n}{60}

120 π t = arcsin (0.06141) + 2 πn

Dividir ambos os lados por

120 π

120 π t = arcsin (0.06141) + 2 πn

Dividir ambos os lados por

120 π

\frac{120 π t}{120 π} = \frac{arcsin ( 0.06141 )}{120 π} + \frac{2 πn}{120 π}

Simplificar

\frac{120 π t}{120 π} = \frac{arcsin ( 0.06141 )}{120 π} + \frac{2 πn}{120 π}

Simplificar

\frac{120 π t}{120 π} : t

\frac{120 π t}{120 π}

Dividir:

\frac{120}{120} = 1

= \frac{π t}{π}

Eliminar o fator comum:

π

= t

Simplificar

\frac{arcsin ( 0.06141 )}{120 π} + \frac{2 πn}{120 π} : \frac{arcsin ( 0.06141 )}{120 π} + \frac{n}{60}

\frac{arcsin ( 0.06141 )}{120 π} + \frac{2 πn}{120 π}

Cancelar

\frac{2 πn}{120 π} : \frac{n}{60}

\frac{2 πn}{120 π}

Cancelar

\frac{2 πn}{120 π} : \frac{n}{60}

\frac{2 πn}{120 π}

Eliminar o fator comum:

2

= \frac{πn}{60 π}

Eliminar o fator comum:

π

= \frac{n}{60}

= \frac{n}{60}

= \frac{arcsin ( 0.06141 )}{120 π} + \frac{n}{60}

t = \frac{arcsin ( 0.06141 )}{120 π} + \frac{n}{60}

t = \frac{arcsin ( 0.06141 )}{120 π} + \frac{n}{60}

t = \frac{arcsin ( 0.06141 )}{120 π} + \frac{n}{60}

Resolver

120 π t = π - arcsin (0.06141) + 2 πn : t = \frac{1}{120} - \frac{arcsin ( 0.06141 )}{120 π} + \frac{n}{60}

120 π t = π - arcsin (0.06141) + 2 πn

Dividir ambos os lados por

120 π

120 π t = π - arcsin (0.06141) + 2 πn

Dividir ambos os lados por

120 π

\frac{120 π t}{120 π} = \frac{π}{120 π} - \frac{arcsin ( 0.06141 )}{120 π} + \frac{2 πn}{120 π}

Simplificar

\frac{120 π t}{120 π} = \frac{π}{120 π} - \frac{arcsin ( 0.06141 )}{120 π} + \frac{2 πn}{120 π}

Simplificar

\frac{120 π t}{120 π} : t

\frac{120 π t}{120 π}

Dividir:

\frac{120}{120} = 1

= \frac{π t}{π}

Eliminar o fator comum:

π

= t

Simplificar

\frac{π}{120 π} - \frac{arcsin ( 0.06141 )}{120 π} + \frac{2 πn}{120 π} : \frac{1}{120} - \frac{arcsin ( 0.06141 )}{120 π} + \frac{n}{60}

\frac{π}{120 π} - \frac{arcsin ( 0.06141 )}{120 π} + \frac{2 πn}{120 π}

Cancelar

\frac{π}{120 π} : \frac{1}{120}

\frac{π}{120 π}

Eliminar o fator comum:

π

= \frac{1}{120}

= \frac{1}{120} - \frac{arcsin ( 0.06141 )}{120 π} + \frac{2 πn}{120 π}

Cancelar

\frac{2 πn}{120 π} : \frac{n}{60}

\frac{2 πn}{120 π}

Cancelar

\frac{2 πn}{120 π} : \frac{n}{60}

\frac{2 πn}{120 π}

Eliminar o fator comum:

2

= \frac{πn}{60 π}

Eliminar o fator comum:

π

= \frac{n}{60}

= \frac{n}{60}

= \frac{1}{120} - \frac{arcsin ( 0.06141 )}{120 π} + \frac{n}{60}

t = \frac{1}{120} - \frac{arcsin ( 0.06141 )}{120 π} + \frac{n}{60}

t = \frac{1}{120} - \frac{arcsin ( 0.06141 )}{120 π} + \frac{n}{60}

t = \frac{1}{120} - \frac{arcsin ( 0.06141 )}{120 π} + \frac{n}{60}

t = \frac{arcsin ( 0.06141 )}{120 π} + \frac{n}{60}, t = \frac{1}{120} - \frac{arcsin ( 0.06141 )}{120 π} + \frac{n}{60}

Mostrar soluções na forma decimal

t = \frac{0.06144 \dots}{120 π} + \frac{n}{60}, t = \frac{1}{120} - \frac{0.06144 \dots}{120 π} + \frac{n}{60}

Gráfico

Exemplos populares

cos(θ)=(2sqrt(13))/(13)

cos (θ) = \frac{2 13}{13}

cos^2(A)+2=3cos(A)

cos^{2} (A) + 2 = 3 cos (A)

sin(θ)=(-5)/6

sin (θ) = \frac{- 5}{6}

(sin(x))/(16)=(sin(31))/(12)

\frac{sin ( x )}{16} = \frac{sin ( 3 1 ^{\circ} )}{12}

sin(A)= 2/3

sin (A) = \frac{2}{3}

sin(120*pi*t)=0.06141

Solução

Solução

Gráfico

Exemplos populares

sin(120pit)=0.06141