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Popular Trigonometria >

tan(2x-60)=3sqrt(3)

Solução

tan (2 x - 60) = 33

Solução

x = 30 + \frac{πn}{2} + \frac{1.38067 \dots}{2}

+1

Graus

x = 1758.42668 \dots^{\circ} + 9 0^{\circ} n

Passos da solução

tan (2 x - 60) = 33

Aplique as propriedades trigonométricas inversas

tan (2 x - 60) = 33

Soluções gerais para

tan (2 x - 60) = 33

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

2 x - 60 = arctan (33) + πn

2 x - 60 = arctan (33) + πn

Resolver

2 x - 60 = arctan (33) + πn : x = 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

2 x - 60 = arctan (33) + πn

Mova

60

para o lado direito

2 x - 60 = arctan (33) + πn

Adicionar

60

a ambos os lados

2 x - 60 + 60 = arctan (33) + πn + 60

Simplificar

2 x = arctan (33) + πn + 60

2 x = arctan (33) + πn + 60

Dividir ambos os lados por

2

2 x = arctan (33) + πn + 60

Dividir ambos os lados por

2

\frac{2 x}{2} = \frac{arctan ( 3 3 )}{2} + \frac{πn}{2} + \frac{60}{2}

Simplificar

\frac{2 x}{2} = \frac{arctan ( 3 3 )}{2} + \frac{πn}{2} + \frac{60}{2}

Simplificar

\frac{2 x}{2} : x

\frac{2 x}{2}

Dividir:

\frac{2}{2} = 1

= x

Simplificar

\frac{arctan ( 3 3 )}{2} + \frac{πn}{2} + \frac{60}{2} : 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

\frac{arctan ( 3 3 )}{2} + \frac{πn}{2} + \frac{60}{2}

Agrupar termos semelhantes

= \frac{60}{2} + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

Dividir:

\frac{60}{2} = 30

= 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

x = 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

x = 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

x = 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

x = 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

Mostrar soluções na forma decimal

x = 30 + \frac{πn}{2} + \frac{1.38067 \dots}{2}

Gráfico

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