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Popular >

sec(3x)-csc(30)=0,(x+35)/5

Solución

sec (3 x) - csc (3 0^{\circ}) = 0, \frac{x + 35}{5}

Solución

Sin soluci \overset{o}{ˊ} n para x \in R

Pasos de solución

sec (3 x) - csc (3 0^{\circ}) = 0, \frac{x + 35}{5}

csc (3 0^{\circ}) = 2

csc (3 0^{\circ})

Utilizar la siguiente identidad trivial:

csc (3 0^{\circ}) = 2

csc (3 0^{\circ})

csc (x)

tabla de valores periódicos con

36 0^{\circ} n

intervalos:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

= 2

= 2

sec (3 x) - 2 = 0

Mover

2

al lado derecho

sec (3 x) - 2 = 0

Sumar

2

a ambos lados

sec (3 x) - 2 + 2 = 0 + 2

Simplificar

sec (3 x) = 2

sec (3 x) = 2

Soluciones generales para

sec (3 x) = 2

sec (x)

tabla de valores periódicos con

36 0^{\circ} n

intervalos:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

3 x = 6 0^{\circ} + 36 0^{\circ} n, 3 x = 30 0^{\circ} + 36 0^{\circ} n

3 x = 6 0^{\circ} + 36 0^{\circ} n, 3 x = 30 0^{\circ} + 36 0^{\circ} n

Resolver

3 x = 6 0^{\circ} + 36 0^{\circ} n : x = 2 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

3 x = 6 0^{\circ} + 36 0^{\circ} n

Dividir ambos lados entre

3

3 x = 6 0^{\circ} + 36 0^{\circ} n

Dividir ambos lados entre

3

\frac{3 x}{3} = \frac{6 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3}

Simplificar

\frac{3 x}{3} = \frac{6 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3}

Simplificar

\frac{3 x}{3} : x

\frac{3 x}{3}

Dividir:

\frac{3}{3} = 1

= x

Simplificar

\frac{6 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3} : 2 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

\frac{6 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3}

\frac{6 0 ^{\circ}}{3} = 2 0^{\circ}

\frac{6 0 ^{\circ}}{3}

Aplicar las propiedades de las fracciones:

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

= \frac{18 0 ^{\circ}}{3 \cdot 3}

Multiplicar los numeros:

3 \cdot 3 = 9

= 2 0^{\circ}

= 2 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

x = 2 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

x = 2 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

x = 2 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

Resolver

3 x = 30 0^{\circ} + 36 0^{\circ} n : x = 10 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

3 x = 30 0^{\circ} + 36 0^{\circ} n

Dividir ambos lados entre

3

3 x = 30 0^{\circ} + 36 0^{\circ} n

Dividir ambos lados entre

3

\frac{3 x}{3} = \frac{30 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3}

Simplificar

\frac{3 x}{3} = \frac{30 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3}

Simplificar

\frac{3 x}{3} : x

\frac{3 x}{3}

Dividir:

\frac{3}{3} = 1

= x

Simplificar

\frac{30 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3} : 10 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

\frac{30 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3}

\frac{30 0 ^{\circ}}{3} = 10 0^{\circ}

\frac{30 0 ^{\circ}}{3}

Aplicar las propiedades de las fracciones:

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

= \frac{90 0 ^{\circ}}{3 \cdot 3}

Multiplicar los numeros:

3 \cdot 3 = 9

= 10 0^{\circ}

= 10 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

x = 10 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

x = 10 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

x = 10 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

x = 2 0^{\circ} + \frac{36 0 ^{\circ} n}{3}, x = 10 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

Soluciones para el rango

\frac{x + 35}{5}

Sin soluci \overset{o}{ˊ} n para x \in R

Ejemplos populares

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