Question

Qual o período das seguintes funções:
a) y = 4 + sen 12 x /7
b) y = sen √7x /14
c) y = 3 cos ⁡8x /10
d) y = 3 + cos⁡ 4x/√6
e) y = sen 18x

Answer 1

Boa tarde

a) y = 4 + sen(12x/7)

12p/7 = 2π
p = 14π/12 = 7π/6 

b) y = sen(√7x /14)

√7p /14 = 2π
p = 28π/√7 = 14√7π

c) y = 3 cos(8x/10)

8p/10 = 2π
p = 20π/8 = 5π/2

d) y = 3 + cos⁡(4x/√6)

4p/√6 = 2π
p = 2√6π/4 = √6π/2 

e) y = sen(18x)

18p = 2π
p = 2π/18 = π/9