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tan(45+x/3)=0.58

Solución

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

Solución

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

+1

radianes

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

Pasos de solución

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

Aplicar propiedades trigonométricas inversas

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

Soluciones generales 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

Mover

4 5^{\circ}

al lado derecho

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

Restar

4 5^{\circ}

de ambos 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 lados por

3

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

Multiplicar ambos 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 fracciones:

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 soluciones en forma decimal

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

Ejemplos populares

r = a (1 + sin (x))

cos(2x)-sin^2(x)-1=3sin(x)

cos (2 x) - sin^{2} (x) - 1 = 3 sin (x)

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

sin (θ) - \frac{cos ( θ )}{5} = 0.6377