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Popular Trigonometria >

c^9=3tan(-3x+c)

Solução

c^{9} = 3 tan (- 3 x + c)

Solução

x = - \frac{arctan ( \frac{c ^{9}}{3} )}{3} - \frac{πn}{3} + \frac{c}{3}

Passos da solução

c^{9} = 3 tan (- 3 x + c)

Trocar lados

3 tan (- 3 x + c) = c^{9}

Dividir ambos os lados por

3

3 tan (- 3 x + c) = c^{9}

Dividir ambos os lados por

3

\frac{3 tan ( - 3 x + c )}{3} = \frac{c ^{9}}{3}

Simplificar

tan (- 3 x + c) = \frac{c ^{9}}{3}

tan (- 3 x + c) = \frac{c ^{9}}{3}

Aplique as propriedades trigonométricas inversas

tan (- 3 x + c) = \frac{c ^{9}}{3}

Soluções gerais para

tan (- 3 x + c) = \frac{c ^{9}}{3}

tan (x) = a \Rightarrow x = arctan (a) + πn

- 3 x + c = arctan (\frac{c ^{9}}{3}) + πn

- 3 x + c = arctan (\frac{c ^{9}}{3}) + πn

Resolver

- 3 x + c = arctan (\frac{c ^{9}}{3}) + πn : x = - \frac{arctan ( \frac{c ^{9}}{3} )}{3} - \frac{πn}{3} + \frac{c}{3}

- 3 x + c = arctan (\frac{c ^{9}}{3}) + πn

Mova

c

para o lado direito

- 3 x + c = arctan (\frac{c ^{9}}{3}) + πn

Subtrair

c

de ambos os lados

- 3 x + c - c = arctan (\frac{c ^{9}}{3}) + πn - c

Simplificar

- 3 x = arctan (\frac{c ^{9}}{3}) + πn - c

- 3 x = arctan (\frac{c ^{9}}{3}) + πn - c

Dividir ambos os lados por

- 3

- 3 x = arctan (\frac{c ^{9}}{3}) + πn - c

Dividir ambos os lados por

- 3

\frac{- 3 x}{- 3} = \frac{arctan ( \frac{c ^{9}}{3} )}{- 3} + \frac{πn}{- 3} - \frac{c}{- 3}

Simplificar

\frac{- 3 x}{- 3} = \frac{arctan ( \frac{c ^{9}}{3} )}{- 3} + \frac{πn}{- 3} - \frac{c}{- 3}

Simplificar

\frac{- 3 x}{- 3} : x

\frac{- 3 x}{- 3}

Aplicar as propriedades das frações:

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

= \frac{3 x}{3}

Dividir:

\frac{3}{3} = 1

= x

Simplificar

\frac{arctan ( \frac{c ^{9}}{3} )}{- 3} + \frac{πn}{- 3} - \frac{c}{- 3} : - \frac{arctan ( \frac{c ^{9}}{3} )}{3} - \frac{πn}{3} + \frac{c}{3}

\frac{arctan ( \frac{c ^{9}}{3} )}{- 3} + \frac{πn}{- 3} - \frac{c}{- 3}

Aplicar as propriedades das frações:

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

= - \frac{arctan ( \frac{c ^{9}}{3} )}{3} + \frac{πn}{- 3} - \frac{c}{- 3}

Aplicar as propriedades das frações:

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

= - \frac{arctan ( \frac{c ^{9}}{3} )}{3} - \frac{πn}{3} - \frac{c}{- 3}

Aplicar as propriedades das frações:

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

= - \frac{arctan ( \frac{c ^{9}}{3} )}{3} - \frac{πn}{3} - (- \frac{c}{3})

Aplicar a regra

- (- a) = a

= - \frac{arctan ( \frac{c ^{9}}{3} )}{3} - \frac{πn}{3} + \frac{c}{3}

x = - \frac{arctan ( \frac{c ^{9}}{3} )}{3} - \frac{πn}{3} + \frac{c}{3}

x = - \frac{arctan ( \frac{c ^{9}}{3} )}{3} - \frac{πn}{3} + \frac{c}{3}

x = - \frac{arctan ( \frac{c ^{9}}{3} )}{3} - \frac{πn}{3} + \frac{c}{3}

x = - \frac{arctan ( \frac{c ^{9}}{3} )}{3} - \frac{πn}{3} + \frac{c}{3}

Gráfico

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tan(θ)=(-sqrt(3))

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