cos(x/3)-cos(x/(15))=0

Solución

cos (\frac{x}{3}) - cos (\frac{x}{15}) = 0

x = 15 πn, x = \frac{15 π}{2} + 15 πn, x = 10 πn, x = 5 π + 10 πn

Pasos de solución

cos (\frac{x}{3}) - cos (\frac{x}{15}) = 0

Re-escribir usando identidades trigonométricas

- 2 sin (\frac{2 x}{15}) sin (\frac{x}{5}) = 0

Resolver cada parte por separado

sin (\frac{2 x}{15}) = 0 or sin (\frac{x}{5}) = 0

sin (\frac{2 x}{15}) = 0 : x = 15 πn, x = \frac{15 π}{2} + 15 πn

sin (\frac{x}{5}) = 0 : x = 10 πn, x = 5 π + 10 πn

Combinar toda las soluciones

x = 15 πn, x = \frac{15 π}{2} + 15 πn, x = 10 πn, x = 5 π + 10 πn

(2 cos (x) - 3) (2 sin (x) + 1) = 0

y, x = π - arcsin (y)

arctan (x) = 3

tan (x) cos (x) = cos (x)

4 cos^{2} (θ) - 2 = - 1