es

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x-90)=cos(x)

Solución

sin (x - 9 0^{\circ}) = cos (x)

Solución

x = 9 0^{\circ} + 36 0^{\circ} n, x = 27 0^{\circ} + 36 0^{\circ} n

+1

radianes

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Pasos de solución

sin (x - 9 0^{\circ}) = cos (x)

Re-escribir usando identidades trigonométricas

sin (x - 9 0^{\circ}) = cos (x)

Re-escribir usando identidades trigonométricas

sin (x - 9 0^{\circ})

Utilizar la identidad de diferencia de ángulos:

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

= sin (x) cos (9 0^{\circ}) - cos (x) sin (9 0^{\circ})

Simplificar

sin (x) cos (9 0^{\circ}) - cos (x) sin (9 0^{\circ}) : - cos (x)

sin (x) cos (9 0^{\circ}) - cos (x) sin (9 0^{\circ})

sin (x) cos (9 0^{\circ}) = 0

sin (x) cos (9 0^{\circ})

Simplificar

cos (9 0^{\circ}) : 0

cos (9 0^{\circ})

Utilizar la siguiente identidad trivial:

cos (9 0^{\circ}) = 0

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

= 0

= 0 \cdot sin (x)

Aplicar la regla

0 \cdot a = 0

= 0

cos (x) sin (9 0^{\circ}) = cos (x)

cos (x) sin (9 0^{\circ})

Simplificar

sin (9 0^{\circ}) : 1

sin (9 0^{\circ})

Utilizar la siguiente identidad trivial:

sin (9 0^{\circ}) = 1

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}

= 1

= 1 \cdot cos (x)

Multiplicar:

cos (x) \cdot 1 = cos (x)

= cos (x)

= 0 - cos (x)

0 - cos (x) = - cos (x)

= - cos (x)

= - cos (x)

- cos (x) = cos (x)

- cos (x) = cos (x)

Restar

cos (x)

de ambos lados

- 2 cos (x) = 0

Dividir ambos lados entre

- 2

- 2 cos (x) = 0

Dividir ambos lados entre

- 2

\frac{- 2 cos ( x )}{- 2} = \frac{0}{- 2}

Simplificar

cos (x) = 0

cos (x) = 0

Soluciones generales para

cos (x) = 0

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

x = 9 0^{\circ} + 36 0^{\circ} n, x = 27 0^{\circ} + 36 0^{\circ} n

x = 9 0^{\circ} + 36 0^{\circ} n, x = 27 0^{\circ} + 36 0^{\circ} n

Ejemplos populares

cos (x) = \frac{67}{77}

(sin(x)+cos(x))^2=(1+2sin(x))/(sec(x))

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

cot(pi/3)=tan(x)

cot (\frac{π}{3}) = tan (x)

3cot(x)+1=2+4cot(x),0<= x<= 360

3 cot (x) + 1 = 2 + 4 cot (x), 0^{\circ} \leq x \leq 36 0^{\circ}

sin(x)=(48.35)/(50.14)

sin (x) = \frac{48.35}{50.14}