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cot(38)=tan(2x)

Solución

cot (3 8^{\circ}) = tan (2 x)

Solución

x = 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

+1

radianes

x = \frac{13 π}{90} + \frac{π}{2} n

Pasos de solución

cot (3 8^{\circ}) = tan (2 x)

Intercambiar lados

tan (2 x) = cot (3 8^{\circ})

Aplicar propiedades trigonométricas inversas

tan (2 x) = cot (3 8^{\circ})

Soluciones generales para

tan (2 x) = cot (3 8^{\circ})

tan (x) = a \Rightarrow x = arctan (a) + 18 0^{\circ} n

2 x = arctan (cot (3 8^{\circ})) + 18 0^{\circ} n

2 x = arctan (cot (3 8^{\circ})) + 18 0^{\circ} n

Resolver

2 x = arctan (cot (3 8^{\circ})) + 18 0^{\circ} n : x = 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

2 x = arctan (cot (3 8^{\circ})) + 18 0^{\circ} n

Simplificar

arctan (cot (3 8^{\circ})) + 18 0^{\circ} n : 5 2^{\circ} + 18 0^{\circ} n

arctan (cot (3 8^{\circ})) + 18 0^{\circ} n

arctan (cot (3 8^{\circ})) = 5 2^{\circ}

arctan (cot (3 8^{\circ}))

Re-escribir usando identidades trigonométricas:

cot (3 8^{\circ}) = tan (5 2^{\circ})

cot (3 8^{\circ})

tan (9 0^{\circ} - x) = cot (x)

= tan (9 0^{\circ} - 3 8^{\circ})

= tan (5 2^{\circ})

= arctan (tan (5 2^{\circ}))

Use the inverse trig property:

5 2^{\circ}

arctan (tan (5 2^{\circ}))

Para

- 9 0^{\circ} < x < 9 0^{\circ}

,

a rc t an (t an (x)) = x

- 9 0^{\circ} < 5 2^{\circ} < 9 0^{\circ}

= 5 2^{\circ}

= 5 2^{\circ}

= 5 2^{\circ} + 18 0^{\circ} n

2 x = 5 2^{\circ} + 18 0^{\circ} n

Dividir ambos lados entre

2

2 x = 5 2^{\circ} + 18 0^{\circ} n

Dividir ambos lados entre

2

\frac{2 x}{2} = \frac{5 2 ^{\circ}}{2} + \frac{18 0 ^{\circ} n}{2}

Simplificar

\frac{2 x}{2} = \frac{5 2 ^{\circ}}{2} + \frac{18 0 ^{\circ} n}{2}

Simplificar

\frac{2 x}{2} : x

\frac{2 x}{2}

Dividir:

\frac{2}{2} = 1

= x

Simplificar

\frac{5 2 ^{\circ}}{2} + \frac{18 0 ^{\circ} n}{2} : 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

\frac{5 2 ^{\circ}}{2} + \frac{18 0 ^{\circ} n}{2}

\frac{5 2 ^{\circ}}{2} = 2 6^{\circ}

\frac{5 2 ^{\circ}}{2}

Aplicar las propiedades de las fracciones:

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

= \frac{234 0 ^{\circ}}{45 \cdot 2}

Multiplicar los numeros:

45 \cdot 2 = 90

= 2 6^{\circ}

= 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

x = 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

x = 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

x = 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

x = 2 6^{\circ} + \frac{18 0 ^{\circ} n}{2}

Ejemplos populares

sin (x \cdot 240) = 0

sin^2(x)+1= 3/2

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

cos (θ) = 0.8126

0 = 2 + cos (θ)

8tan(x/2)+8cos(x)tan(x/2)=1,0<x<360

8 tan (\frac{x}{2}) + 8 cos (x) tan (\frac{x}{2}) = 1, 0^{\circ} < x < 36 0^{\circ}