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Popular Trigonometria >

tan(45+x/3)=0.58

Solução

tan (4 5^{\circ} + \frac{x}{3}) = 0.58

Solução

x = 3 \cdot 0.52558 \dots + 54 0^{\circ} n - 13 5^{\circ}

+1

Radianos

x = 3 \cdot 0.52558 \dots - \frac{3 π}{4} + 3 πn

Passos da solução

tan (4 5^{\circ} + \frac{x}{3}) = 0.58

Aplique as propriedades trigonométricas inversas

tan (4 5^{\circ} + \frac{x}{3}) = 0.58

Soluções gerais para

tan (4 5^{\circ} + \frac{x}{3}) = 0.58

tan (x) = a \Rightarrow x = arctan (a) + 18 0^{\circ} n

4 5^{\circ} + \frac{x}{3} = arctan (0.58) + 18 0^{\circ} n

4 5^{\circ} + \frac{x}{3} = arctan (0.58) + 18 0^{\circ} n

Resolver

4 5^{\circ} + \frac{x}{3} = arctan (0.58) + 18 0^{\circ} n : x = 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

4 5^{\circ} + \frac{x}{3} = arctan (0.58) + 18 0^{\circ} n

Mova

4 5^{\circ}

para o lado direito

4 5^{\circ} + \frac{x}{3} = arctan (0.58) + 18 0^{\circ} n

Subtrair

4 5^{\circ}

de ambos os lados

4 5^{\circ} + \frac{x}{3} - 4 5^{\circ} = arctan (0.58) + 18 0^{\circ} n - 4 5^{\circ}

Simplificar

\frac{x}{3} = arctan (0.58) + 18 0^{\circ} n - 4 5^{\circ}

\frac{x}{3} = arctan (0.58) + 18 0^{\circ} n - 4 5^{\circ}

Multiplicar ambos os lados por

3

\frac{x}{3} = arctan (0.58) + 18 0^{\circ} n - 4 5^{\circ}

Multiplicar ambos os lados por

3

\frac{3 x}{3} = 3 arctan (0.58) + 54 0^{\circ} n - 3 \cdot 4 5^{\circ}

Simplificar

\frac{3 x}{3} = 3 arctan (0.58) + 54 0^{\circ} n - 3 \cdot 4 5^{\circ}

Simplificar

\frac{3 x}{3} : x

\frac{3 x}{3}

Dividir:

\frac{3}{3} = 1

= x

Simplificar

3 arctan (0.58) + 54 0^{\circ} n - 3 \cdot 4 5^{\circ} : 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

3 arctan (0.58) + 54 0^{\circ} n - 3 \cdot 4 5^{\circ}

Multiplicar

3 \cdot 4 5^{\circ} : 13 5^{\circ}

3 \cdot 4 5^{\circ}

Multiplicar frações:

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

= 13 5^{\circ}

= 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

x = 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

x = 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

x = 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

x = 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

Mostrar soluções na forma decimal

x = 3 \cdot 0.52558 \dots + 54 0^{\circ} n - 13 5^{\circ}

Gráfico

Exemplos populares

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tan(Θ)=1.4,180<,Θ<270

tan (Θ) = 1.4, 18 0^{\circ} <, Θ < 27 0^{\circ}

(1+4cos(θ))^2=(sqrt(3)sin(θ))

(1 + 4 cos (θ))^{2} = (3 sin (θ))

sin(θ)-(cos(θ))/5 =0.6377

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sin(4x)=cos(4x)

sin (4 x) = cos (4 x)