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Popular >

2tan(2x+10)=-5.5

Solución

2 tan (2 x + 10) = - 5.5

Solución

x = - 5 + \frac{πn}{2} - \frac{1.22202 \dots}{2}

+1

Grados

x = - 321.48734 \dots^{\circ} + 9 0^{\circ} n

Pasos de solución

2 tan (2 x + 10) = - 5.5

Dividir ambos lados entre

2

2 tan (2 x + 10) = - 5.5

Dividir ambos lados entre

2

\frac{2 tan ( 2 x + 10 )}{2} = \frac{- 5.5}{2}

Simplificar

\frac{2 tan ( 2 x + 10 )}{2} = \frac{- 5.5}{2}

Simplificar

\frac{2 tan ( 2 x + 10 )}{2} : tan (2 x + 10)

\frac{2 tan ( 2 x + 10 )}{2}

Dividir:

\frac{2}{2} = 1

= tan (2 x + 10)

Simplificar

\frac{- 5.5}{2} : - 2.75

\frac{- 5.5}{2}

Aplicar las propiedades de las fracciones:

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

= - \frac{5.5}{2}

Dividir:

\frac{5.5}{2} = 2.75

= - 2.75

tan (2 x + 10) = - 2.75

tan (2 x + 10) = - 2.75

tan (2 x + 10) = - 2.75

Aplicar propiedades trigonométricas inversas

tan (2 x + 10) = - 2.75

Soluciones generales para

tan (2 x + 10) = - 2.75

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

2 x + 10 = arctan (- 2.75) + πn

2 x + 10 = arctan (- 2.75) + πn

Resolver

2 x + 10 = arctan (- 2.75) + πn : x = - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

2 x + 10 = arctan (- 2.75) + πn

Simplificar

arctan (- 2.75) + πn : - arctan (\frac{11}{4}) + πn

arctan (- 2.75) + πn

arctan (- 2.75) = - arctan (\frac{11}{4})

arctan (- 2.75)

= arctan (- \frac{11}{4})

Utilizar la siguiente propiedad:

arctan (- x) = - arctan (x)

arctan (- \frac{11}{4}) = - arctan (\frac{11}{4})

= - arctan (\frac{11}{4})

= - arctan (\frac{11}{4}) + πn

2 x + 10 = - arctan (\frac{11}{4}) + πn

Mover

10

al lado derecho

2 x + 10 = - arctan (\frac{11}{4}) + πn

Restar

10

de ambos lados

2 x + 10 - 10 = - arctan (\frac{11}{4}) + πn - 10

Simplificar

2 x = - arctan (\frac{11}{4}) + πn - 10

2 x = - arctan (\frac{11}{4}) + πn - 10

Dividir ambos lados entre

2

2 x = - arctan (\frac{11}{4}) + πn - 10

Dividir ambos lados entre

2

\frac{2 x}{2} = - \frac{arctan ( \frac{11}{4} )}{2} + \frac{πn}{2} - \frac{10}{2}

Simplificar

\frac{2 x}{2} = - \frac{arctan ( \frac{11}{4} )}{2} + \frac{πn}{2} - \frac{10}{2}

Simplificar

\frac{2 x}{2} : x

\frac{2 x}{2}

Dividir:

\frac{2}{2} = 1

= x

Simplificar

- \frac{arctan ( \frac{11}{4} )}{2} + \frac{πn}{2} - \frac{10}{2} : - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

- \frac{arctan ( \frac{11}{4} )}{2} + \frac{πn}{2} - \frac{10}{2}

Agrupar términos semejantes

= - \frac{10}{2} + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

Dividir:

\frac{10}{2} = 5

= - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

x = - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

x = - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

x = - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

x = - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

Mostrar soluciones en forma decimal

x = - 5 + \frac{πn}{2} - \frac{1.22202 \dots}{2}

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4cos^2(x)+4sin(x)-5=0

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