English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(3x-50)cos(x)-cos(3x-50)sin(x)=0,0<= x<= 180

Solución

sin (3 x - 50) cos (x) - cos (3 x - 50) sin (x) = 0, 0^{\circ} \leq x \leq 18 0^{\circ}

Solución

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

Pasos de solución

sin (3 x - 50) cos (x) - cos (3 x - 50) sin (x) = 0, 0^{\circ} \leq x \leq 18 0^{\circ}

Re-escribir usando identidades trigonométricas

sin (3 x - 50) cos (x) - cos (3 x - 50) sin (x)

Utilizar la identidad de diferencia de ángulos:

sin (s) cos (t) - cos (s) sin (t) = sin (s - t)

= sin (3 x - 50 - x)

sin (3 x - 50 - x) = 0

Soluciones generales para

sin (3 x - 50 - x) = 0

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}

3 x - 50 - x = 0 + 36 0^{\circ} n, 3 x - 50 - x = 18 0^{\circ} + 36 0^{\circ} n

3 x - 50 - x = 0 + 36 0^{\circ} n, 3 x - 50 - x = 18 0^{\circ} + 36 0^{\circ} n

Resolver

3 x - 50 - x = 0 + 36 0^{\circ} n : x = 18 0^{\circ} n + 25

3 x - 50 - x = 0 + 36 0^{\circ} n

Agrupar términos semejantes

3 x - x - 50 = 0 + 36 0^{\circ} n

Sumar elementos similares:

3 x - x = 2 x

2 x - 50 = 0 + 36 0^{\circ} n

0 + 36 0^{\circ} n = 36 0^{\circ} n

2 x - 50 = 36 0^{\circ} n

Mover

50

al lado derecho

2 x - 50 = 36 0^{\circ} n

Sumar

50

a ambos lados

2 x - 50 + 50 = 36 0^{\circ} n + 50

Simplificar

2 x = 36 0^{\circ} n + 50

2 x = 36 0^{\circ} n + 50

Dividir ambos lados entre

2

2 x = 36 0^{\circ} n + 50

Dividir ambos lados entre

2

\frac{2 x}{2} = \frac{36 0 ^{\circ} n}{2} + \frac{50}{2}

Simplificar

\frac{2 x}{2} = \frac{36 0 ^{\circ} n}{2} + \frac{50}{2}

Simplificar

\frac{2 x}{2} : x

\frac{2 x}{2}

Dividir:

\frac{2}{2} = 1

= x

Simplificar

\frac{36 0 ^{\circ} n}{2} + \frac{50}{2} : 18 0^{\circ} n + 25

\frac{36 0 ^{\circ} n}{2} + \frac{50}{2}

Dividir:

\frac{2}{2} = 1

= 18 0^{\circ} n + \frac{50}{2}

Dividir:

\frac{50}{2} = 25

= 18 0^{\circ} n + 25

x = 18 0^{\circ} n + 25

x = 18 0^{\circ} n + 25

x = 18 0^{\circ} n + 25

Resolver

3 x - 50 - x = 18 0^{\circ} + 36 0^{\circ} n : x = 9 0^{\circ} + 25 + 18 0^{\circ} n

3 x - 50 - x = 18 0^{\circ} + 36 0^{\circ} n

Agrupar términos semejantes

3 x - x - 50 = 18 0^{\circ} + 36 0^{\circ} n

Sumar elementos similares:

3 x - x = 2 x

2 x - 50 = 18 0^{\circ} + 36 0^{\circ} n

Mover

50

al lado derecho

2 x - 50 = 18 0^{\circ} + 36 0^{\circ} n

Sumar

50

a ambos lados

2 x - 50 + 50 = 18 0^{\circ} + 36 0^{\circ} n + 50

Simplificar

2 x = 18 0^{\circ} + 36 0^{\circ} n + 50

2 x = 18 0^{\circ} + 36 0^{\circ} n + 50

Dividir ambos lados entre

2

2 x = 18 0^{\circ} + 36 0^{\circ} n + 50

Dividir ambos lados entre

2

\frac{2 x}{2} = 9 0^{\circ} + \frac{36 0 ^{\circ} n}{2} + \frac{50}{2}

Simplificar

\frac{2 x}{2} = 9 0^{\circ} + \frac{36 0 ^{\circ} n}{2} + \frac{50}{2}

Simplificar

\frac{2 x}{2} : x

\frac{2 x}{2}

Dividir:

\frac{2}{2} = 1

= x

Simplificar

9 0^{\circ} + \frac{36 0 ^{\circ} n}{2} + \frac{50}{2} : 9 0^{\circ} + 25 + 18 0^{\circ} n

9 0^{\circ} + \frac{36 0 ^{\circ} n}{2} + \frac{50}{2}

Agrupar términos semejantes

= 9 0^{\circ} + \frac{50}{2} + \frac{36 0 ^{\circ} n}{2}

Dividir:

\frac{50}{2} = 25

= 9 0^{\circ} + 25 + \frac{36 0 ^{\circ} n}{2}

Dividir:

\frac{2}{2} = 1

= 9 0^{\circ} + 25 + 18 0^{\circ} n

x = 9 0^{\circ} + 25 + 18 0^{\circ} n

x = 9 0^{\circ} + 25 + 18 0^{\circ} n

x = 9 0^{\circ} + 25 + 18 0^{\circ} n

x = 18 0^{\circ} n + 25, x = 9 0^{\circ} + 25 + 18 0^{\circ} n

Soluciones para el rango

0 \leq x \leq 18 0^{\circ}

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

Ejemplos populares

10cos^2(x)=9

10 cos^{2} (x) = 9

2sin(x)tan(x)+tan(x)=0

2 sin (x) tan (x) + tan (x) = 0

0.5cos(x)=0

0.5 cos (x) = 0

(sin(x))/5 =(sin(125))/(20)

\frac{sin ( x )}{5} = \frac{sin ( 12 5 ^{\circ} )}{20}

tan((8x+1)/5)*cot((x+7)/2)=1

tan (\frac{8 x + 1 ^{\circ}}{5}) \cdot cot (\frac{x + 7 ^{\circ}}{2}) = 1