Question

me ajudaaaaaa
Determine o periodo e das funçoes abaixos
a) f(x) = sen(8×)
b) f(x) = con (16x)
c) F(x) = tg (4x)​

Answer 1

$f(x) = sen(bx)\\f(x) = cos(bx)\\\\\text{Na fun\c{c}\~ao seno e cosseno, o per\'iodo se d\'a por:}\\\\p = \dfrac{2\pi}{b}\\\\ f(x) = tg(bx)\\\\\text{Na fun\c{c}\~ao tangente, o per\'iodo se d\'a por:}\\\\ p = \dfrac{\pi}{b}\\\\\text{Assim:}\\\\a) \ f(x) = sen(8x)\\\\p = \dfrac{2\pi}{8} = \dfrac{\pi}{4}\\\\\\b) \ f(x) = cos(16x)\\\\p = \dfrac{2\pi}{16} = \dfrac{\pi}{8}\\\\\\c) \ f(x) = tg(4x)\\\\p = \dfrac{\pi}{4}$