Question

Determine o período das funções:

$a) Y= sen \frac{x}{3}$
$b) Y= cos \frac{4\pi}{5}$

Answer 1

$P = \frac{2\pi}{|k|}$

a.

P = 2π/(1/3) → 2π * 3 → 6π

b. (Se for 4x/5)

P = 2π/(4/5) → 2π * 5/4 → 5π/2

(Se for 4πx/5)

P = 2π/4πx/5 → 10π/4πx → 5/(2x)

(Se for realmente, 4π/5 , k = 0)

P = 2π/0 ← Indeterminado