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Popular >

tan(2x)=-(((30+20)/2))/(80)

Solución

tan (2 x) = - \frac{( \frac{30 + 20}{2} )}{80}

Solución

x = - \frac{0.30288 \dots}{2} + \frac{πn}{2}

+1

radianes

x = - \frac{0.30288 \dots}{2} + \frac{π}{2} n

Pasos de solución

tan (2 x) = - \frac{( \frac{30 + 20}{2} )}{80}

Simplificar

- \frac{\frac{30 + 20}{2}}{80} : - \frac{5}{16}

- \frac{\frac{30 + 20}{2}}{80}

Sumar:

30 + 20 = 50

= - \frac{\frac{50}{2}}{80}

Simplificar

\frac{\frac{50}{2}}{80} : \frac{50}{160}

\frac{\frac{50}{2}}{80}

Aplicar las propiedades de las fracciones:

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

= \frac{50}{2 \cdot 80}

Multiplicar los numeros:

2 \cdot 80 = 160

= \frac{50}{160}

= - \frac{50}{160}

Eliminar los terminos comunes:

10

= - \frac{5}{16}

Aplicar propiedades trigonométricas inversas

tan (2 x) = - \frac{5}{16}

Soluciones generales para

tan (2 x) = - \frac{5}{16}

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

2 x = arctan (- \frac{5}{16}) + πn

2 x = arctan (- \frac{5}{16}) + πn

Resolver

2 x = arctan (- \frac{5}{16}) + πn : x = - \frac{arctan ( \frac{5}{16} )}{2} + \frac{πn}{2}

2 x = arctan (- \frac{5}{16}) + πn

Simplificar

arctan (- \frac{5}{16}) + πn : - arctan (\frac{5}{16}) + πn

arctan (- \frac{5}{16}) + πn

Utilizar la siguiente propiedad:

arctan (- x) = - arctan (x)

arctan (- \frac{5}{16}) = - arctan (\frac{5}{16})

= - arctan (\frac{5}{16}) + πn

2 x = - arctan (\frac{5}{16}) + πn

Dividir ambos lados entre

2

2 x = - arctan (\frac{5}{16}) + πn

Dividir ambos lados entre

2

\frac{2 x}{2} = - \frac{arctan ( \frac{5}{16} )}{2} + \frac{πn}{2}

Simplificar

x = - \frac{arctan ( \frac{5}{16} )}{2} + \frac{πn}{2}

x = - \frac{arctan ( \frac{5}{16} )}{2} + \frac{πn}{2}

x = - \frac{arctan ( \frac{5}{16} )}{2} + \frac{πn}{2}

Mostrar soluciones en forma decimal

x = - \frac{0.30288 \dots}{2} + \frac{πn}{2}

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1.333 \cdot sin (4 8^{\circ}) = sin (x)

solvefor x,y=cos(x^2)resolver para

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2sin(θ)=2+2cos(θ)

2 sin (θ) = 2 + 2 cos (θ)

tan(x)=(1.3823)/(10.1)

tan (x) = \frac{1.3823}{10.1}