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Popular Trigonometria >

solvefor t,0=(1.8)cos(2pift)

Solução

resolver para

t, 0 = (1.8) cos (2 π f t)

Solução

t = \frac{1}{4 f} + \frac{n}{f}, t = \frac{3}{4 f} + \frac{n}{f}; f \neq = 0

Passos da solução

0 = (1.8) cos (2 π f t)

Trocar lados

1.8 cos (2 π f t) = 0

Multiplicar ambos os lados por

10

1.8 cos (2 π f t) = 0

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere is one digit to the right of the decimal point, therefore multiply by

10

1.8 cos (2 π f t) \cdot 10 = 0 \cdot 10

Simplificar

18 cos (2 π f t) = 0

18 cos (2 π f t) = 0

Dividir ambos os lados por

18

18 cos (2 π f t) = 0

Dividir ambos os lados por

18

\frac{18 cos ( 2 π f t )}{18} = \frac{0}{18}

Simplificar

cos (2 π f t) = 0

cos (2 π f t) = 0

Soluções gerais para

cos (2 π f t) = 0

cos (x)

tabela de periodicidade com ciclo de

2 πn

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

2 π f t = \frac{π}{2} + 2 πn, 2 π f t = \frac{3 π}{2} + 2 πn

2 π f t = \frac{π}{2} + 2 πn, 2 π f t = \frac{3 π}{2} + 2 πn

Resolver

2 π f t = \frac{π}{2} + 2 πn : t = \frac{1}{4 f} + \frac{n}{f}; f \neq = 0

2 π f t = \frac{π}{2} + 2 πn

Dividir ambos os lados por

2 π f; f \neq = 0

2 π f t = \frac{π}{2} + 2 πn

Dividir ambos os lados por

2 π f; f \neq = 0

\frac{2 π f t}{2 π f} = \frac{\frac{π}{2}}{2 π f} + \frac{2 πn}{2 π f}; f \neq = 0

Simplificar

\frac{2 π f t}{2 π f} = \frac{\frac{π}{2}}{2 π f} + \frac{2 πn}{2 π f}

Simplificar

\frac{2 π f t}{2 π f} : t

\frac{2 π f t}{2 π f}

Dividir:

\frac{2}{2} = 1

= \frac{π t f}{π f}

Eliminar o fator comum:

π

= \frac{t f}{f}

Eliminar o fator comum:

f

= t

Simplificar

\frac{\frac{π}{2}}{2 π f} + \frac{2 πn}{2 π f} : \frac{1}{4 f} + \frac{n}{f}

\frac{\frac{π}{2}}{2 π f} + \frac{2 πn}{2 π f}

\frac{\frac{π}{2}}{2 π f} = \frac{1}{4 f}

\frac{\frac{π}{2}}{2 π f}

Aplicar as propriedades das frações:

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

= \frac{π}{2 \cdot 2 π f}

Multiplicar os números:

2 \cdot 2 = 4

= \frac{π}{4 π f}

Eliminar o fator comum:

π

= \frac{1}{4 f}

\frac{2 πn}{2 π f} = \frac{n}{f}

\frac{2 πn}{2 π f}

Cancelar

\frac{2 πn}{2 π f} : \frac{n}{f}

\frac{2 πn}{2 π f}

Dividir:

\frac{2}{2} = 1

= \frac{πn}{π f}

Eliminar o fator comum:

π

= \frac{n}{f}

= \frac{n}{f}

= \frac{1}{4 f} + \frac{n}{f}

t = \frac{1}{4 f} + \frac{n}{f}; f \neq = 0

t = \frac{1}{4 f} + \frac{n}{f}; f \neq = 0

t = \frac{1}{4 f} + \frac{n}{f}; f \neq = 0

Resolver

2 π f t = \frac{3 π}{2} + 2 πn : t = \frac{3}{4 f} + \frac{n}{f}; f \neq = 0

2 π f t = \frac{3 π}{2} + 2 πn

Dividir ambos os lados por

2 π f; f \neq = 0

2 π f t = \frac{3 π}{2} + 2 πn

Dividir ambos os lados por

2 π f; f \neq = 0

\frac{2 π f t}{2 π f} = \frac{\frac{3 π}{2}}{2 π f} + \frac{2 πn}{2 π f}; f \neq = 0

Simplificar

\frac{2 π f t}{2 π f} = \frac{\frac{3 π}{2}}{2 π f} + \frac{2 πn}{2 π f}

Simplificar

\frac{2 π f t}{2 π f} : t

\frac{2 π f t}{2 π f}

Dividir:

\frac{2}{2} = 1

= \frac{π t f}{π f}

Eliminar o fator comum:

π

= \frac{t f}{f}

Eliminar o fator comum:

f

= t

Simplificar

\frac{\frac{3 π}{2}}{2 π f} + \frac{2 πn}{2 π f} : \frac{3}{4 f} + \frac{n}{f}

\frac{\frac{3 π}{2}}{2 π f} + \frac{2 πn}{2 π f}

\frac{\frac{3 π}{2}}{2 π f} = \frac{3}{4 f}

\frac{\frac{3 π}{2}}{2 π f}

Aplicar as propriedades das frações:

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

= \frac{3 π}{2 \cdot 2 π f}

Multiplicar os números:

2 \cdot 2 = 4

= \frac{3 π}{4 π f}

Eliminar o fator comum:

π

= \frac{3}{4 f}

\frac{2 πn}{2 π f} = \frac{n}{f}

\frac{2 πn}{2 π f}

Cancelar

\frac{2 πn}{2 π f} : \frac{n}{f}

\frac{2 πn}{2 π f}

Dividir:

\frac{2}{2} = 1

= \frac{πn}{π f}

Eliminar o fator comum:

π

= \frac{n}{f}

= \frac{n}{f}

= \frac{3}{4 f} + \frac{n}{f}

t = \frac{3}{4 f} + \frac{n}{f}; f \neq = 0

t = \frac{3}{4 f} + \frac{n}{f}; f \neq = 0

t = \frac{3}{4 f} + \frac{n}{f}; f \neq = 0

t = \frac{1}{4 f} + \frac{n}{f}, t = \frac{3}{4 f} + \frac{n}{f}; f \neq = 0

Gráfico

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