Question

How do you write an equation of the sine function with amplitude of 3 and period of 4pi over 5?

Answer 1

`f(x) = 3sin ((5x)/2)`

Explanation:

`f(x) = a.sin ((bx)/c)`, with period:

`(4pi)/5 = (2(2pi))/5`

a = 3 --> b = 5 -->, and c = 2

`f(x) = 3sin ((5x)/2)`