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Popular >

tan(3x-4)=(-1)/2

Solución

tan (3 x - 4) = \frac{- 1}{2}

Solución

x = - \frac{0.46364 \dots}{3} + \frac{πn}{3} + \frac{4}{3}

+1

Grados

x = 67.53935 \dots^{\circ} + 6 0^{\circ} n

Pasos de solución

tan (3 x - 4) = \frac{- 1}{2}

Aplicar las propiedades de las fracciones:

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

tan (3 x - 4) = - \frac{1}{2}

Aplicar propiedades trigonométricas inversas

tan (3 x - 4) = - \frac{1}{2}

Soluciones generales para

tan (3 x - 4) = - \frac{1}{2}

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

3 x - 4 = arctan (- \frac{1}{2}) + πn

3 x - 4 = arctan (- \frac{1}{2}) + πn

Resolver

3 x - 4 = arctan (- \frac{1}{2}) + πn : x = - \frac{arctan ( \frac{1}{2} )}{3} + \frac{πn}{3} + \frac{4}{3}

3 x - 4 = arctan (- \frac{1}{2}) + πn

Simplificar

arctan (- \frac{1}{2}) + πn : - arctan (\frac{1}{2}) + πn

arctan (- \frac{1}{2}) + πn

Utilizar la siguiente propiedad:

arctan (- x) = - arctan (x)

arctan (- \frac{1}{2}) = - arctan (\frac{1}{2})

= - arctan (\frac{1}{2}) + πn

3 x - 4 = - arctan (\frac{1}{2}) + πn

Mover

4

al lado derecho

3 x - 4 = - arctan (\frac{1}{2}) + πn

Sumar

4

a ambos lados

3 x - 4 + 4 = - arctan (\frac{1}{2}) + πn + 4

Simplificar

3 x = - arctan (\frac{1}{2}) + πn + 4

3 x = - arctan (\frac{1}{2}) + πn + 4

Dividir ambos lados entre

3

3 x = - arctan (\frac{1}{2}) + πn + 4

Dividir ambos lados entre

3

\frac{3 x}{3} = - \frac{arctan ( \frac{1}{2} )}{3} + \frac{πn}{3} + \frac{4}{3}

Simplificar

x = - \frac{arctan ( \frac{1}{2} )}{3} + \frac{πn}{3} + \frac{4}{3}

x = - \frac{arctan ( \frac{1}{2} )}{3} + \frac{πn}{3} + \frac{4}{3}

x = - \frac{arctan ( \frac{1}{2} )}{3} + \frac{πn}{3} + \frac{4}{3}

Mostrar soluciones en forma decimal

x = - \frac{0.46364 \dots}{3} + \frac{πn}{3} + \frac{4}{3}

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