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Popular >

tan(2x+60)=3sqrt(3)

Solución

tan (2 x + 60) = 33

Solución

x = - 30 + \frac{πn}{2} + \frac{1.38067 \dots}{2}

+1

Grados

x = - 1679.32008 \dots^{\circ} + 9 0^{\circ} n

Pasos de solución

tan (2 x + 60) = 33

Aplicar propiedades trigonométricas inversas

tan (2 x + 60) = 33

Soluciones generales para

tan (2 x + 60) = 33

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

2 x + 60 = arctan (33) + πn

2 x + 60 = arctan (33) + πn

Resolver

2 x + 60 = arctan (33) + πn : x = - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

2 x + 60 = arctan (33) + πn

Mover

60

al lado derecho

2 x + 60 = arctan (33) + πn

Restar

60

de ambos lados

2 x + 60 - 60 = arctan (33) + πn - 60

Simplificar

2 x = arctan (33) + πn - 60

2 x = arctan (33) + πn - 60

Dividir ambos lados entre

2

2 x = arctan (33) + πn - 60

Dividir ambos lados entre

2

\frac{2 x}{2} = \frac{arctan ( 3 3 )}{2} + \frac{πn}{2} - \frac{60}{2}

Simplificar

\frac{2 x}{2} = \frac{arctan ( 3 3 )}{2} + \frac{πn}{2} - \frac{60}{2}

Simplificar

\frac{2 x}{2} : x

\frac{2 x}{2}

Dividir:

\frac{2}{2} = 1

= x

Simplificar

\frac{arctan ( 3 3 )}{2} + \frac{πn}{2} - \frac{60}{2} : - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

\frac{arctan ( 3 3 )}{2} + \frac{πn}{2} - \frac{60}{2}

Agrupar términos semejantes

= - \frac{60}{2} + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

Dividir:

\frac{60}{2} = 30

= - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

x = - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

x = - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

x = - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

x = - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

Mostrar soluciones en forma decimal

x = - 30 + \frac{πn}{2} + \frac{1.38067 \dots}{2}

Ejemplos populares

verificar cos(pi/3+x)=sin(30-x)verificar

cos (\frac{π}{3} + x) = sin (3 0^{\circ} - x)

2cos^2(x)+cos(x)=cos(2x)

2 cos^{2} (x) + cos (x) = cos (2 x)

tan(x)-tan(pi/(18))=1+tan(x)tan(pi/(18))

tan (x) - tan (\frac{π}{18}) = 1 + tan (x) tan (\frac{π}{18})

cos(θ)= 2/5 ,cot(θ)<0

cos (θ) = \frac{2}{5}, cot (θ) < 0

solvefor θ,cos(θ)=(sqrt(2))/2 resolver para

θ, cos (θ) = \frac{2}{2}