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(50.691)cos(50.691-c)+sin(50.691-c)=0

Solución

(50.691) cos (50.69 1^{\circ} - c) + sin (50.69 1^{\circ} - c) = 0

Solución

c = - 0.70579 \dots + 18 0^{\circ} n

radianes

c = - 0.70579 \dots + πn

Pasos de solución

(50.691) cos (50.69 1^{\circ} - c) + sin (50.69 1^{\circ} - c) = 0

Restar

sin (50.69100 \dots^{\circ} - c)

de ambos lados

50.691 cos (0.88472 \dots - c) = - sin (- c + 50.69100 \dots^{\circ})

Elevar al cuadrado ambos lados

(50.691 cos (0.88472 \dots - c))^{2} = (- sin (- c + 50.69100 \dots^{\circ}))^{2}

Re-escribir usando identidades trigonométricas

(50.691 cos (0.88472 \dots - c))^{2} = (- sin (- c + 50.69100 \dots^{\circ}))^{2}

Re-escribir usando identidades trigonométricas

cos (0.88472 \dots - c)

Utilizar la identidad de diferencia de ángulos:

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

= cos (0.88472 \dots) cos (c) + sin (0.88472 \dots) sin (c)

Simplificar

cos (0.88472 \dots) cos (c) + sin (0.88472 \dots) sin (c) : 0.63350 \dots cos (c) + 0.77374 \dots sin (c)

cos (0.88472 \dots) cos (c) + sin (0.88472 \dots) sin (c)

Simplificar

cos (0.88472 \dots) : 0.63350 \dots

cos (0.88472 \dots)

cos (0.88472 \dots) = 0.63350 \dots

= 0.63350 \dots

= 0.63350 \dots cos (c) + sin (0.88472 \dots) sin (c)

Simplificar

sin (0.88472 \dots) : 0.77374 \dots

sin (0.88472 \dots)

sin (0.88472 \dots) = 0.77374 \dots

= 0.77374 \dots

= 0.63350 \dots cos (c) + 0.77374 \dots sin (c)

= 0.63350 \dots cos (c) + 0.77374 \dots sin (c)

(50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)))^{2} = (- sin (- c + 50.69100 \dots^{\circ}))^{2}

Simplificar

(50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)))^{2} : 2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c))^{2}

(50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)))^{2}

Aplicar las leyes de los exponentes:

(a \cdot b)^{n} = a^{n} b^{n}

= 50.69 1^{2} (0.63350 \dots cos (c) + 0.77374 \dots sin (c))^{2}

50.69 1^{2} = 2569.577481

= 2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c))^{2}

Simplificar

(- sin (- c + 50.69100 \dots^{\circ}))^{2} : sin^{2} (- c + 50.69100 \dots^{\circ})

(- sin (- c + 50.69100 \dots^{\circ}))^{2}

Aplicar las leyes de los exponentes:

(- a)^{n} = a^{n},

n

es par

(- sin (- c + 50.69100 \dots^{\circ}))^{2} = sin^{2} (- c + 50.69100 \dots^{\circ})

= sin^{2} (- c + 50.69100 \dots^{\circ})

2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c))^{2} = sin^{2} (- c + 50.69100 \dots^{\circ})

2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c))^{2} = sin^{2} (- c + 50.69100 \dots^{\circ})

Restar

sin^{2} (- c + 50.69100 \dots^{\circ})

de ambos lados

2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c))^{2} - sin^{2} (- c + 0.88472 \dots) = 0

Factorizar

2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c))^{2} - sin^{2} (- c + 0.88472 \dots) : (50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) + sin (- c + 0.88472 \dots)) (50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) - sin (- c + 0.88472 \dots))

2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c))^{2} - sin^{2} (- c + 0.88472 \dots)

Reescribir

2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c))^{2} - sin^{2} (- c + 0.88472 \dots)

como

(2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)))^{2} - sin^{2} (- c + 0.88472 \dots)

2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c))^{2} - sin^{2} (- c + 0.88472 \dots)

Aplicar las leyes de los exponentes:

a = (a)^{2}

2569.577481 = (2569.577481)^{2}

= (2569.577481)^{2} (0.63350 \dots cos (c) + 0.77374 \dots sin (c))^{2} - sin^{2} (- c + 0.88472 \dots)

Aplicar las leyes de los exponentes:

a^{m} b^{m} = (ab)^{m}

(2569.577481)^{2} (0.63350 \dots cos (c) + 0.77374 \dots sin (c))^{2} = (2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)))^{2}

= (2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)))^{2} - sin^{2} (- c + 0.88472 \dots)

= (2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)))^{2} - sin^{2} (- c + 0.88472 \dots)

Aplicar la siguiente regla para binomios al cuadrado:

x^{2} - y^{2} = (x + y) (x - y)

(2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)))^{2} - sin^{2} (- c + 0.88472 \dots) = (2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) + sin (- c + 0.88472 \dots)) (2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) - sin (- c + 0.88472 \dots))

= (2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) + sin (- c + 0.88472 \dots)) (2569.577481 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) - sin (- c + 0.88472 \dots))

2569.577481 = 50.691

= (sin (- c + 0.88472 \dots) + 50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c))) (50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) - sin (- c + 0.88472 \dots))

(50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) + sin (- c + 0.88472 \dots)) (50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) - sin (- c + 0.88472 \dots)) = 0

Resolver cada parte por separado

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) + sin (- c + 0.88472 \dots) = 0 or 50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) - sin (- c + 0.88472 \dots) = 0

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) + sin (- c + 0.88472 \dots) = 0 : c = arctan (- 0.85224 \dots) + 18 0^{\circ} n

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) + sin (- c + 0.88472 \dots) = 0

Re-escribir usando identidades trigonométricas

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) + sin (- c + 0.88472 \dots) = 0

Re-escribir usando identidades trigonométricas

sin (- c + 0.88472 \dots)

Utilizar la identidad de diferencia de ángulos:

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

= sin (0.88472 \dots) cos (c) - cos (0.88472 \dots) sin (c)

Simplificar

sin (0.88472 \dots) cos (c) - cos (0.88472 \dots) sin (c) : 0.77374 \dots cos (c) - 0.63350 \dots sin (c)

sin (0.88472 \dots) cos (c) - cos (0.88472 \dots) sin (c)

Simplificar

sin (0.88472 \dots) : 0.77374 \dots

sin (0.88472 \dots)

sin (0.88472 \dots) = 0.77374 \dots

= 0.77374 \dots

= 0.77374 \dots cos (c) - cos (0.88472 \dots) sin (c)

Simplificar

cos (0.88472 \dots) : 0.63350 \dots

cos (0.88472 \dots)

cos (0.88472 \dots) = 0.63350 \dots

= 0.63350 \dots

= 0.77374 \dots cos (c) - 0.63350 \dots sin (c)

= 0.77374 \dots cos (c) - 0.63350 \dots sin (c)

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) + 0.77374 \dots cos (c) - 0.63350 \dots sin (c) = 0

Simplificar

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) + 0.77374 \dots cos (c) - 0.63350 \dots sin (c) : 32.88660 \dots cos (c) + 38.58819 \dots sin (c)

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) + 0.77374 \dots cos (c) - 0.63350 \dots sin (c)

Expandir

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) : 32.11286 \dots cos (c) + 39.22169 \dots sin (c)

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c))

Poner los parentesis utilizando:

a (b + c) = ab + a c

a = 50.691, b = 0.63350 \dots cos (c), c = 0.77374 \dots sin (c)

= 50.691 \cdot 0.63350 \dots cos (c) + 50.691 \cdot 0.77374 \dots sin (c)

= 0.63350 \dots \cdot 50.691 cos (c) + 0.77374 \dots \cdot 50.691 sin (c)

Simplificar

0.63350 \dots \cdot 50.691 cos (c) + 0.77374 \dots \cdot 50.691 sin (c) : 32.11286 \dots cos (c) + 39.22169 \dots sin (c)

0.63350 \dots \cdot 50.691 cos (c) + 0.77374 \dots \cdot 50.691 sin (c)

Multiplicar los numeros:

0.63350 \dots \cdot 50.691 = 32.11286 \dots

= 32.11286 \dots cos (c) + 0.77374 \dots \cdot 50.691 sin (c)

Multiplicar los numeros:

0.77374 \dots \cdot 50.691 = 39.22169 \dots

= 32.11286 \dots cos (c) + 39.22169 \dots sin (c)

= 32.11286 \dots cos (c) + 39.22169 \dots sin (c)

= 32.11286 \dots cos (c) + 39.22169 \dots sin (c) + 0.77374 \dots cos (c) - 0.63350 \dots sin (c)

Simplificar

32.11286 \dots cos (c) + 39.22169 \dots sin (c) + 0.77374 \dots cos (c) - 0.63350 \dots sin (c) : 32.88660 \dots cos (c) + 38.58819 \dots sin (c)

32.11286 \dots cos (c) + 39.22169 \dots sin (c) + 0.77374 \dots cos (c) - 0.63350 \dots sin (c)

Sumar elementos similares:

32.11286 \dots cos (c) + 0.77374 \dots cos (c) = 32.88660 \dots cos (c)

= 32.88660 \dots cos (c) + 39.22169 \dots sin (c) - 0.63350 \dots sin (c)

Sumar elementos similares:

39.22169 \dots sin (c) - 0.63350 \dots sin (c) = 38.58819 \dots sin (c)

= 32.88660 \dots cos (c) + 38.58819 \dots sin (c)

= 32.88660 \dots cos (c) + 38.58819 \dots sin (c)

32.88660 \dots cos (c) + 38.58819 \dots sin (c) = 0

Dividir ambos lados entre

cos (c), cos (c) \neq = 0

\frac{32.88660 \dots cos ( c ) + 38.58819 \dots sin ( c )}{cos ( c )} = \frac{0}{cos ( c )}

Simplificar

32.88660 \dots + \frac{38.58819 \dots sin ( c )}{cos ( c )} = 0

Utilizar la identidad trigonométrica básica:

\frac{sin ( x )}{cos ( x )} = tan (x)

32.88660 \dots + 38.58819 \dots tan (c) = 0

32.88660 \dots + 38.58819 \dots tan (c) = 0

Mover

32.88660 \dots

al lado derecho

32.88660 \dots + 38.58819 \dots tan (c) = 0

Restar

32.88660 \dots

de ambos lados

32.88660 \dots + 38.58819 \dots tan (c) - 32.88660 \dots = 0 - 32.88660 \dots

Simplificar

38.58819 \dots tan (c) = - 32.88660 \dots

38.58819 \dots tan (c) = - 32.88660 \dots

Dividir ambos lados entre

38.58819 \dots

38.58819 \dots tan (c) = - 32.88660 \dots

Dividir ambos lados entre

38.58819 \dots

\frac{38.58819 \dots tan ( c )}{38.58819 \dots} = \frac{- 32.88660 \dots}{38.58819 \dots}

Simplificar

\frac{38.58819 \dots tan ( c )}{38.58819 \dots} = \frac{- 32.88660 \dots}{38.58819 \dots}

Simplificar

\frac{38.58819 \dots tan ( c )}{38.58819 \dots} : tan (c)

\frac{38.58819 \dots tan ( c )}{38.58819 \dots}

Eliminar los terminos comunes:

38.58819 \dots

= tan (c)

Simplificar

\frac{- 32.88660 \dots}{38.58819 \dots} : - 0.85224 \dots

\frac{- 32.88660 \dots}{38.58819 \dots}

Aplicar las propiedades de las fracciones:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{32.88660 \dots}{38.58819 \dots}

Dividir:

\frac{32.88660 \dots}{38.58819 \dots} = 0.85224 \dots

= - 0.85224 \dots

tan (c) = - 0.85224 \dots

tan (c) = - 0.85224 \dots

tan (c) = - 0.85224 \dots

Aplicar propiedades trigonométricas inversas

tan (c) = - 0.85224 \dots

Soluciones generales para

tan (c) = - 0.85224 \dots

tan (x) = - a \Rightarrow x = arctan (- a) + 18 0^{\circ} n

c = arctan (- 0.85224 \dots) + 18 0^{\circ} n

c = arctan (- 0.85224 \dots) + 18 0^{\circ} n

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) - sin (- c + 0.88472 \dots) = 0 : c = arctan (- 0.78632 \dots) + 18 0^{\circ} n

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) - sin (- c + 0.88472 \dots) = 0

Re-escribir usando identidades trigonométricas

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) - sin (- c + 0.88472 \dots) = 0

Re-escribir usando identidades trigonométricas

sin (- c + 0.88472 \dots)

Utilizar la identidad de diferencia de ángulos:

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

= sin (0.88472 \dots) cos (c) - cos (0.88472 \dots) sin (c)

Simplificar

sin (0.88472 \dots) cos (c) - cos (0.88472 \dots) sin (c) : 0.77374 \dots cos (c) - 0.63350 \dots sin (c)

sin (0.88472 \dots) cos (c) - cos (0.88472 \dots) sin (c)

Simplificar

sin (0.88472 \dots) : 0.77374 \dots

sin (0.88472 \dots)

sin (0.88472 \dots) = 0.77374 \dots

= 0.77374 \dots

= 0.77374 \dots cos (c) - cos (0.88472 \dots) sin (c)

Simplificar

cos (0.88472 \dots) : 0.63350 \dots

cos (0.88472 \dots)

cos (0.88472 \dots) = 0.63350 \dots

= 0.63350 \dots

= 0.77374 \dots cos (c) - 0.63350 \dots sin (c)

= 0.77374 \dots cos (c) - 0.63350 \dots sin (c)

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) - (0.77374 \dots cos (c) - 0.63350 \dots sin (c)) = 0

Simplificar

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) - (0.77374 \dots cos (c) - 0.63350 \dots sin (c)) : 31.33912 \dots cos (c) + 39.85519 \dots sin (c)

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) - (0.77374 \dots cos (c) - 0.63350 \dots sin (c))

Expandir

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c)) : 32.11286 \dots cos (c) + 39.22169 \dots sin (c)

50.691 (0.63350 \dots cos (c) + 0.77374 \dots sin (c))

Poner los parentesis utilizando:

a (b + c) = ab + a c

a = 50.691, b = 0.63350 \dots cos (c), c = 0.77374 \dots sin (c)

= 50.691 \cdot 0.63350 \dots cos (c) + 50.691 \cdot 0.77374 \dots sin (c)

= 0.63350 \dots \cdot 50.691 cos (c) + 0.77374 \dots \cdot 50.691 sin (c)

Simplificar

0.63350 \dots \cdot 50.691 cos (c) + 0.77374 \dots \cdot 50.691 sin (c) : 32.11286 \dots cos (c) + 39.22169 \dots sin (c)

0.63350 \dots \cdot 50.691 cos (c) + 0.77374 \dots \cdot 50.691 sin (c)

Multiplicar los numeros:

0.63350 \dots \cdot 50.691 = 32.11286 \dots

= 32.11286 \dots cos (c) + 0.77374 \dots \cdot 50.691 sin (c)

Multiplicar los numeros:

0.77374 \dots \cdot 50.691 = 39.22169 \dots

= 32.11286 \dots cos (c) + 39.22169 \dots sin (c)

= 32.11286 \dots cos (c) + 39.22169 \dots sin (c)

= 32.11286 \dots cos (c) + 39.22169 \dots sin (c) - (0.77374 \dots cos (c) - 0.63350 \dots sin (c))

- (0.77374 \dots cos (c) - 0.63350 \dots sin (c)) : - 0.77374 \dots cos (c) + 0.63350 \dots sin (c)

- (0.77374 \dots cos (c) - 0.63350 \dots sin (c))

Poner los parentesis

= - (0.77374 \dots cos (c)) - (- 0.63350 \dots sin (c))

Aplicar las reglas de los signos

- (- a) = a, - (a) = - a

= - 0.77374 \dots cos (c) + 0.63350 \dots sin (c)

= 32.11286 \dots cos (c) + 39.22169 \dots sin (c) - 0.77374 \dots cos (c) + 0.63350 \dots sin (c)

Simplificar

32.11286 \dots cos (c) + 39.22169 \dots sin (c) - 0.77374 \dots cos (c) + 0.63350 \dots sin (c) : 31.33912 \dots cos (c) + 39.85519 \dots sin (c)

32.11286 \dots cos (c) + 39.22169 \dots sin (c) - 0.77374 \dots cos (c) + 0.63350 \dots sin (c)

Sumar elementos similares:

32.11286 \dots cos (c) - 0.77374 \dots cos (c) = 31.33912 \dots cos (c)

= 31.33912 \dots cos (c) + 39.22169 \dots sin (c) + 0.63350 \dots sin (c)

Sumar elementos similares:

39.22169 \dots sin (c) + 0.63350 \dots sin (c) = 39.85519 \dots sin (c)

= 31.33912 \dots cos (c) + 39.85519 \dots sin (c)

= 31.33912 \dots cos (c) + 39.85519 \dots sin (c)

31.33912 \dots cos (c) + 39.85519 \dots sin (c) = 0

Dividir ambos lados entre

cos (c), cos (c) \neq = 0

\frac{31.33912 \dots cos ( c ) + 39.85519 \dots sin ( c )}{cos ( c )} = \frac{0}{cos ( c )}

Simplificar

31.33912 \dots + \frac{39.85519 \dots sin ( c )}{cos ( c )} = 0

Utilizar la identidad trigonométrica básica:

\frac{sin ( x )}{cos ( x )} = tan (x)

31.33912 \dots + 39.85519 \dots tan (c) = 0

31.33912 \dots + 39.85519 \dots tan (c) = 0

Mover

31.33912 \dots

al lado derecho

31.33912 \dots + 39.85519 \dots tan (c) = 0

Restar

31.33912 \dots

de ambos lados

31.33912 \dots + 39.85519 \dots tan (c) - 31.33912 \dots = 0 - 31.33912 \dots

Simplificar

39.85519 \dots tan (c) = - 31.33912 \dots

39.85519 \dots tan (c) = - 31.33912 \dots

Dividir ambos lados entre

39.85519 \dots

39.85519 \dots tan (c) = - 31.33912 \dots

Dividir ambos lados entre

39.85519 \dots

\frac{39.85519 \dots tan ( c )}{39.85519 \dots} = \frac{- 31.33912 \dots}{39.85519 \dots}

Simplificar

\frac{39.85519 \dots tan ( c )}{39.85519 \dots} = \frac{- 31.33912 \dots}{39.85519 \dots}

Simplificar

\frac{39.85519 \dots tan ( c )}{39.85519 \dots} : tan (c)

\frac{39.85519 \dots tan ( c )}{39.85519 \dots}

Eliminar los terminos comunes:

39.85519 \dots

= tan (c)

Simplificar

\frac{- 31.33912 \dots}{39.85519 \dots} : - 0.78632 \dots

\frac{- 31.33912 \dots}{39.85519 \dots}

Aplicar las propiedades de las fracciones:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{31.33912 \dots}{39.85519 \dots}

Dividir:

\frac{31.33912 \dots}{39.85519 \dots} = 0.78632 \dots

= - 0.78632 \dots

tan (c) = - 0.78632 \dots

tan (c) = - 0.78632 \dots

tan (c) = - 0.78632 \dots

Aplicar propiedades trigonométricas inversas

tan (c) = - 0.78632 \dots

Soluciones generales para

tan (c) = - 0.78632 \dots

tan (x) = - a \Rightarrow x = arctan (- a) + 18 0^{\circ} n

c = arctan (- 0.78632 \dots) + 18 0^{\circ} n

c = arctan (- 0.78632 \dots) + 18 0^{\circ} n

Combinar toda las soluciones

c = arctan (- 0.85224 \dots) + 18 0^{\circ} n, c = arctan (- 0.78632 \dots) + 18 0^{\circ} n

Verificar las soluciones sustituyendo en la ecuación original

Verificar las soluciones sustituyéndolas en

50.691 cos (50.69100 \dots^{\circ} - c) + sin (50.69100 \dots^{\circ} - c) = 0

Quitar las que no concuerden con la ecuación.

Verificar la solución

arctan (- 0.85224 \dots) + 18 0^{\circ} n :

Verdadero

arctan (- 0.85224 \dots) + 18 0^{\circ} n

Sustituir

n = 1

arctan (- 0.85224 \dots) + 18 0^{\circ} 1

Multiplicar

50.691 cos (50.69100 \dots^{\circ} - c) + sin (50.69100 \dots^{\circ} - c) = 0

por

c = arctan (- 0.85224 \dots) + 18 0^{\circ} 1

50.691 cos (50.69100 \dots^{\circ} - (arctan (- 0.85224 \dots) + 18 0^{\circ} 1)) + sin (50.69100 \dots^{\circ} - (arctan (- 0.85224 \dots) + 18 0^{\circ} 1)) = 0

Simplificar

0 = 0

\Rightarrow Verdadero

Verificar la solución

arctan (- 0.78632 \dots) + 18 0^{\circ} n :

Falso

arctan (- 0.78632 \dots) + 18 0^{\circ} n

Sustituir

n = 1

arctan (- 0.78632 \dots) + 18 0^{\circ} 1

Multiplicar

50.691 cos (50.69100 \dots^{\circ} - c) + sin (50.69100 \dots^{\circ} - c) = 0

por

c = arctan (- 0.78632 \dots) + 18 0^{\circ} 1

50.691 cos (50.69100 \dots^{\circ} - (arctan (- 0.78632 \dots) + 18 0^{\circ} 1)) + sin (50.69100 \dots^{\circ} - (arctan (- 0.78632 \dots) + 18 0^{\circ} 1)) = 0

Simplificar

- 1.99961 \dots = 0

\Rightarrow Falso

c = arctan (- 0.85224 \dots) + 18 0^{\circ} n

Mostrar soluciones en forma decimal

c = - 0.70579 \dots + 18 0^{\circ} n

Ejemplos populares

sec(4θ)=2

sec (4 θ) = 2

tan^2(x)-4tan(x)+1=0

tan^{2} (x) - 4 tan (x) + 1 = 0

sec(θ)+cos(θ)=sin(θ)tan(θ)

sec (θ) + cos (θ) = sin (θ) tan (θ)

cos(x)=0.98

cos (x) = 0.98

tan(3x+pi/2)=-1

tan (3 x + \frac{π}{2}) = - 1