English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor y,t=2cot(60y+30)

Solución

resolver para

y, t = 2 cot (6 0^{\circ} y + 3 0^{\circ})

Solución

y = \frac{3 arccot ( \frac{t}{2} )}{18 0 ^{\circ}} + 3 n - \frac{1}{2}

radianes

y = \frac{3 arccot ( \frac{t}{2} )}{π} - \frac{1}{2} + 3 n

Pasos de solución

t = 2 cot (6 0^{\circ} y + 3 0^{\circ})

Intercambiar lados

2 cot (\frac{π}{3} y + \frac{π}{6}) = t

Dividir ambos lados entre

2

2 cot (\frac{π}{3} y + \frac{π}{6}) = t

Dividir ambos lados entre

2

\frac{2 cot ( \frac{π}{3} y + \frac{π}{6} )}{2} = \frac{t}{2}

Simplificar

cot (\frac{π}{3} y + \frac{π}{6}) = \frac{t}{2}

cot (\frac{π}{3} y + \frac{π}{6}) = \frac{t}{2}

Aplicar propiedades trigonométricas inversas

cot (\frac{π}{3} y + \frac{π}{6}) = \frac{t}{2}

Soluciones generales para

cot (6 0^{\circ} y + 3 0^{\circ}) = \frac{t}{2}

cot (x) = a \Rightarrow x = arccot (a) + 18 0^{\circ} n

\frac{π}{3} y + \frac{π}{6} = arccot (\frac{t}{2}) + πn

\frac{π}{3} y + \frac{π}{6} = arccot (\frac{t}{2}) + πn

Resolver

6 0^{\circ} y + 3 0^{\circ} = arccot (\frac{t}{2}) + 18 0^{\circ} n : y = \frac{3 arccot ( \frac{t}{2} )}{18 0 ^{\circ}} + 3 n - \frac{1}{2}

\frac{π}{3} y + \frac{π}{6} = arccot (\frac{t}{2}) + πn

Mover

3 0^{\circ}

al lado derecho

\frac{π}{3} y + \frac{π}{6} = arccot (\frac{t}{2}) + πn

Restar

3 0^{\circ}

de ambos lados

\frac{π}{3} y + \frac{π}{6} - \frac{π}{6} = arccot (\frac{t}{2}) + πn - \frac{π}{6}

Simplificar

\frac{π}{3} y = arccot (\frac{t}{2}) + πn - \frac{π}{6}

\frac{π}{3} y = arccot (\frac{t}{2}) + πn - \frac{π}{6}

Multiplicar ambos lados por

3

\frac{π}{3} y = arccot (\frac{t}{2}) + πn - \frac{π}{6}

Multiplicar ambos lados por

3

3 \cdot \frac{π}{3} y = 3 arccot (\frac{t}{2}) + 3 πn - 3 \cdot \frac{π}{6}

Simplificar

3 \cdot \frac{π}{3} y = 3 arccot (\frac{t}{2}) + 3 πn - 3 \cdot \frac{π}{6}

Simplificar

3 \cdot 6 0^{\circ} y : 18 0^{\circ} y

3 \cdot 6 0^{\circ} y

Multiplicar fracciones:

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

= 18 0^{\circ} y

Eliminar los terminos comunes:

3

= y 18 0^{\circ}

Simplificar

3 arccot (\frac{t}{2}) + 54 0^{\circ} n - 3 \cdot 3 0^{\circ} : 3 arccot (\frac{t}{2}) + 54 0^{\circ} n - 9 0^{\circ}

3 arccot (\frac{t}{2}) + 3 πn - 3 \cdot \frac{π}{6}

3 \cdot 3 0^{\circ} = 9 0^{\circ}

3 \cdot 3 0^{\circ}

Multiplicar fracciones:

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

= 9 0^{\circ}

Eliminar los terminos comunes:

3

= 9 0^{\circ}

= 3 arccot (\frac{t}{2}) + 3 πn - \frac{π}{2}

π y = 3 arccot (\frac{t}{2}) + 3 πn - \frac{π}{2}

π y = 3 arccot (\frac{t}{2}) + 3 πn - \frac{π}{2}

π y = 3 arccot (\frac{t}{2}) + 3 πn - \frac{π}{2}

Dividir ambos lados entre

18 0^{\circ}

π y = 3 arccot (\frac{t}{2}) + 3 πn - \frac{π}{2}

Dividir ambos lados entre

18 0^{\circ}

\frac{π y}{π} = \frac{3 arccot ( \frac{t}{2} )}{π} + \frac{3 πn}{π} - \frac{\frac{π}{2}}{π}

Simplificar

\frac{π y}{π} = \frac{3 arccot ( \frac{t}{2} )}{π} + \frac{3 πn}{π} - \frac{\frac{π}{2}}{π}

Simplificar

\frac{18 0 ^{\circ} y}{18 0 ^{\circ}} : y

\frac{18 0 ^{\circ} y}{18 0 ^{\circ}}

Eliminar los terminos comunes:

18 0^{\circ}

= y

Simplificar

\frac{3 arccot ( \frac{t}{2} )}{18 0 ^{\circ}} + \frac{54 0 ^{\circ} n}{18 0 ^{\circ}} - \frac{9 0 ^{\circ}}{18 0 ^{\circ}} : \frac{3 arccot ( \frac{t}{2} )}{18 0 ^{\circ}} + 3 n - \frac{1}{2}

\frac{3 arccot ( \frac{t}{2} )}{π} + \frac{3 πn}{π} - \frac{\frac{π}{2}}{π}

\frac{54 0 ^{\circ} n}{18 0 ^{\circ}} = 3 n

\frac{54 0 ^{\circ} n}{18 0 ^{\circ}}

Eliminar los terminos comunes:

18 0^{\circ}

= 3 n

\frac{9 0 ^{\circ}}{18 0 ^{\circ}} = \frac{1}{2}

\frac{9 0 ^{\circ}}{18 0 ^{\circ}}

Aplicar las propiedades de las fracciones:

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

= \frac{18 0 ^{\circ}}{36 0 ^{\circ}}

Eliminar los terminos comunes:

18 0^{\circ}

= \frac{1}{2}

= \frac{3 arccot ( \frac{t}{2} )}{π} + 3 n - \frac{1}{2}

y = \frac{3 arccot ( \frac{t}{2} )}{π} + 3 n - \frac{1}{2}

y = \frac{3 arccot ( \frac{t}{2} )}{π} + 3 n - \frac{1}{2}

y = \frac{3 arccot ( \frac{t}{2} )}{π} + 3 n - \frac{1}{2}

y = \frac{3 arccot ( \frac{t}{2} )}{18 0 ^{\circ}} + 3 n - \frac{1}{2}

Ejemplos populares

sec(y)=-2

sec (y) = - 2

-1+2sin^2(x)=0

- 1 + 2 sin^{2} (x) = 0

solvefor θ,y=-2+cos(3θ)resolver para

θ, y = - 2 + cos (3 θ)

cos(2x)+5*cos(x)=-3

cos (2 x) + 5 \cdot cos (x) = - 3

2cos^2(x)-sin(x)-2=0

2 cos^{2} (x) - sin (x) - 2 = 0