solvefor θ,(cos(θ))/(sin(θ))=-pi/6

Solución

resolver para

θ, \frac{cos ( θ )}{sin ( θ )} = - \frac{π}{6}

θ = 2.05314 \dots + πn

Grados

θ = 117.63649 \dots^{\circ} + 18 0^{\circ} n

Pasos de solución

\frac{cos ( θ )}{sin ( θ )} = - \frac{π}{6}

Re-escribir usando identidades trigonométricas

\frac{cos ( θ )}{sin ( θ )}

Utilizar la identidad trigonométrica básica:

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

= cot (θ)

cot (θ) = - \frac{π}{6}

Aplicar propiedades trigonométricas inversas

cot (θ) = - \frac{π}{6}

Soluciones generales para

cot (θ) = - \frac{π}{6}

cot (x) = - a \Rightarrow x = arccot (- a) + πn

θ = arccot (- \frac{π}{6}) + πn

θ = arccot (- \frac{π}{6}) + πn

Mostrar soluciones en forma decimal

θ = 2.05314 \dots + πn

tan (θ) = \frac{10}{- 5.32}

2 sin (2 x) + cos (2 x) = 4 cos (2 x)

sec (t) = \frac{1}{\frac{2}{2}}

- \frac{cos ( x ) - sin ( x )}{1 + sin ( 2 x )} = 0

2 cos (x) = cot (x)