English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2sin(1/2 x)=1,0<= x<= 12

Solución

2 sin (\frac{1}{2} x) = 1, 0^{\circ} \leq x \leq 1 2^{\circ}

Solución

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

Pasos de solución

2 sin (\frac{1}{2} x) = 1, 0^{\circ} \leq x \leq 1 2^{\circ}

Dividir ambos lados entre

2

2 sin (\frac{1}{2} x) = 1

Dividir ambos lados entre

2

\frac{2 sin ( \frac{1}{2} x )}{2} = \frac{1}{2}

Simplificar

sin (\frac{1}{2} x) = \frac{1}{2}

sin (\frac{1}{2} x) = \frac{1}{2}

Soluciones generales para

sin (\frac{1}{2} x) = \frac{1}{2}

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} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 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} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

\frac{1}{2} x = 3 0^{\circ} + 36 0^{\circ} n, \frac{1}{2} x = 15 0^{\circ} + 36 0^{\circ} n

\frac{1}{2} x = 3 0^{\circ} + 36 0^{\circ} n, \frac{1}{2} x = 15 0^{\circ} + 36 0^{\circ} n

Resolver

\frac{1}{2} x = 3 0^{\circ} + 36 0^{\circ} n : x = 6 0^{\circ} + 72 0^{\circ} n

\frac{1}{2} x = 3 0^{\circ} + 36 0^{\circ} n

Multiplicar ambos lados por

2

\frac{1}{2} x = 3 0^{\circ} + 36 0^{\circ} n

Multiplicar ambos lados por

2

2 \cdot \frac{1}{2} x = 2 \cdot 3 0^{\circ} + 2 \cdot 36 0^{\circ} n

Simplificar

2 \cdot \frac{1}{2} x = 2 \cdot 3 0^{\circ} + 2 \cdot 36 0^{\circ} n

Simplificar

2 \cdot \frac{1}{2} x : x

2 \cdot \frac{1}{2} x

Multiplicar fracciones:

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

= \frac{1 \cdot 2}{2} x

Eliminar los terminos comunes:

2

= x \cdot 1

Multiplicar:

x \cdot 1 = x

= x

Simplificar

2 \cdot 3 0^{\circ} + 2 \cdot 36 0^{\circ} n : 6 0^{\circ} + 72 0^{\circ} n

2 \cdot 3 0^{\circ} + 2 \cdot 36 0^{\circ} n

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

2 \cdot 3 0^{\circ}

Multiplicar fracciones:

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

= 6 0^{\circ}

Eliminar los terminos comunes:

2

= 6 0^{\circ}

2 \cdot 36 0^{\circ} n = 72 0^{\circ} n

2 \cdot 36 0^{\circ} n

Multiplicar los numeros:

2 \cdot 2 = 4

= 72 0^{\circ} n

= 6 0^{\circ} + 72 0^{\circ} n

x = 6 0^{\circ} + 72 0^{\circ} n

x = 6 0^{\circ} + 72 0^{\circ} n

x = 6 0^{\circ} + 72 0^{\circ} n

Resolver

\frac{1}{2} x = 15 0^{\circ} + 36 0^{\circ} n : x = 30 0^{\circ} + 72 0^{\circ} n

\frac{1}{2} x = 15 0^{\circ} + 36 0^{\circ} n

Multiplicar ambos lados por

2

\frac{1}{2} x = 15 0^{\circ} + 36 0^{\circ} n

Multiplicar ambos lados por

2

2 \cdot \frac{1}{2} x = 2 \cdot 15 0^{\circ} + 2 \cdot 36 0^{\circ} n

Simplificar

2 \cdot \frac{1}{2} x = 2 \cdot 15 0^{\circ} + 2 \cdot 36 0^{\circ} n

Simplificar

2 \cdot \frac{1}{2} x : x

2 \cdot \frac{1}{2} x

Multiplicar fracciones:

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

= \frac{1 \cdot 2}{2} x

Eliminar los terminos comunes:

2

= x \cdot 1

Multiplicar:

x \cdot 1 = x

= x

Simplificar

2 \cdot 15 0^{\circ} + 2 \cdot 36 0^{\circ} n : 30 0^{\circ} + 72 0^{\circ} n

2 \cdot 15 0^{\circ} + 2 \cdot 36 0^{\circ} n

2 \cdot 15 0^{\circ} = 30 0^{\circ}

2 \cdot 15 0^{\circ}

Multiplicar fracciones:

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

= 30 0^{\circ}

Multiplicar los numeros:

5 \cdot 2 = 10

= 30 0^{\circ}

Eliminar los terminos comunes:

2

= 30 0^{\circ}

2 \cdot 36 0^{\circ} n = 72 0^{\circ} n

2 \cdot 36 0^{\circ} n

Multiplicar los numeros:

2 \cdot 2 = 4

= 72 0^{\circ} n

= 30 0^{\circ} + 72 0^{\circ} n

x = 30 0^{\circ} + 72 0^{\circ} n

x = 30 0^{\circ} + 72 0^{\circ} n

x = 30 0^{\circ} + 72 0^{\circ} n

x = 6 0^{\circ} + 72 0^{\circ} n, x = 30 0^{\circ} + 72 0^{\circ} n

Soluciones para el rango

0 \leq x \leq 1 2^{\circ}

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

Gráfica

Ejemplos populares

2sin(pi/4+x)*sin(pi/4-x)+sin^2(x)=0

2 sin (\frac{π}{4} + x) \cdot sin (\frac{π}{4} - x) + sin^{2} (x) = 0

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

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

7sin^2(x)-6=-3sin^2(x)

7 sin^{2} (x) - 6 = - 3 sin^{2} (x)

tan(b)=4

tan (b) = 4

1sin(30)=1.5sin(x)

1 sin (3 0^{\circ}) = 1.5 sin (x)