-12cos^2(θ)-8=-17

Solución

- 12 cos^{2} (θ) - 8 = - 17

θ = \frac{π}{6} + 2 πn, θ = \frac{11 π}{6} + 2 πn, θ = \frac{5 π}{6} + 2 πn, θ = \frac{7 π}{6} + 2 πn

Pasos de solución

- 12 cos^{2} (θ) - 8 = - 17

Usando el método de sustitución

cos (θ) = \frac{3}{2}, cos (θ) = - \frac{3}{2}

cos (θ) = \frac{3}{2} : θ = \frac{π}{6} + 2 πn, θ = \frac{11 π}{6} + 2 πn

cos (θ) = - \frac{3}{2} : θ = \frac{5 π}{6} + 2 πn, θ = \frac{7 π}{6} + 2 πn

Combinar toda las soluciones

θ = \frac{π}{6} + 2 πn, θ = \frac{11 π}{6} + 2 πn, θ = \frac{5 π}{6} + 2 πn, θ = \frac{7 π}{6} + 2 πn

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

cos (\frac{π}{x}) = 0

tan^{2} (θ) - 4 sec (θ) = - 5

tan (θ) = \frac{5}{6}

sin (3 x) cos (2 x) + cos (3 x) sin (2 x) = 1