English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

sec(x)sin(x)-3sin(x)=0,0<= x<= 360

Solución

sec (x) sin (x) - 3 sin (x) = 0, 0 \leq x \leq 36 0^{\circ}

x = 0, x = 18 0^{\circ}, x = 36 0^{\circ}, x = 1.23095 \dots, x = 36 0^{\circ} - 1.23095 \dots

Radianes

x = 0, x = π, x = 2 π, x = 1.23095 \dots, x = 2 π - 1.23095 \dots

Pasos de solución

sec (x) sin (x) - 3 sin (x) = 0, 0 \leq x \leq 36 0^{\circ}

Factorizar

sec (x) sin (x) - 3 sin (x) : sin (x) (sec (x) - 3)

sec (x) sin (x) - 3 sin (x)

Factorizar el termino común

sin (x)

= sin (x) (sec (x) - 3)

sin (x) (sec (x) - 3) = 0

Resolver cada parte por separado

sin (x) = 0 or sec (x) - 3 = 0

sin (x) = 0, 0 \leq x \leq 36 0^{\circ} : x = 0, x = 18 0^{\circ}, x = 36 0^{\circ}

sin (x) = 0, 0 \leq x \leq 36 0^{\circ}

Soluciones generales para

sin (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}

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

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

Resolver

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

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

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

x = 36 0^{\circ} n

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

Soluciones para el rango

0 \leq x \leq 36 0^{\circ}

x = 0, x = 18 0^{\circ}, x = 36 0^{\circ}

sec (x) - 3 = 0, 0 \leq x \leq 36 0^{\circ} : x = arcsec (3), x = 36 0^{\circ} - arcsec (3)

sec (x) - 3 = 0, 0 \leq x \leq 36 0^{\circ}

Desplace

3

a la derecha

sec (x) - 3 = 0

Sumar

3

a ambos lados

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

Simplificar

sec (x) = 3

sec (x) = 3

Aplicar propiedades trigonométricas inversas

sec (x) = 3

Soluciones generales para

sec (x) = 3

sec (x) = a \Rightarrow x = arcsec (a) + 36 0^{\circ} n, x = 36 0^{\circ} - arcsec (a) + 36 0^{\circ} n

x = arcsec (3) + 36 0^{\circ} n, x = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n

x = arcsec (3) + 36 0^{\circ} n, x = 36 0^{\circ} - arcsec (3) + 36 0^{\circ} n

Soluciones para el rango

0 \leq x \leq 36 0^{\circ}

x = arcsec (3), x = 36 0^{\circ} - arcsec (3)

Combinar toda las soluciones

x = 0, x = 18 0^{\circ}, x = 36 0^{\circ}, x = arcsec (3), x = 36 0^{\circ} - arcsec (3)

Mostrar soluciones en forma decimal

x = 0, x = 18 0^{\circ}, x = 36 0^{\circ}, x = 1.23095 \dots, x = 36 0^{\circ} - 1.23095 \dots