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Popular >

3tan(2x+1)=2

Solución

3 tan (2 x + 1) = 2

Solución

x = \frac{0.58800 \dots}{2} + \frac{πn}{2} - \frac{1}{2}

+1

Grados

x = - 11.80285 \dots^{\circ} + 9 0^{\circ} n

Pasos de solución

3 tan (2 x + 1) = 2

Dividir ambos lados entre

3

3 tan (2 x + 1) = 2

Dividir ambos lados entre

3

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

Simplificar

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

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

Aplicar propiedades trigonométricas inversas

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

Soluciones generales para

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

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

2 x + 1 = arctan (\frac{2}{3}) + πn

2 x + 1 = arctan (\frac{2}{3}) + πn

Resolver

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

2 x + 1 = arctan (\frac{2}{3}) + πn

Mover

1

al lado derecho

2 x + 1 = arctan (\frac{2}{3}) + πn

Restar

1

de ambos lados

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

Simplificar

2 x = arctan (\frac{2}{3}) + πn - 1

2 x = arctan (\frac{2}{3}) + πn - 1

Dividir ambos lados entre

2

2 x = arctan (\frac{2}{3}) + πn - 1

Dividir ambos lados entre

2

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

Simplificar

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

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

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

Mostrar soluciones en forma decimal

x = \frac{0.58800 \dots}{2} + \frac{πn}{2} - \frac{1}{2}

Ejemplos populares

1/((1+tan(a)))=cot(a)

\frac{1}{( 1 + tan ( a ) )} = cot (a)

tan(2x)-2=3tan(x)

tan (2 x) - 2 = 3 tan (x)

sin (x - \frac{π}{6}) = 0

2= 1/(cos^2(x))

2 = \frac{1}{cos ^{2} ( x )}

arccot(x-2)=arccot(x-1)+arccot(x)

arccot (x - 2) = arccot (x - 1) + arccot (x)