Answer:
F=3
Step-by-step explanation:
Due to the difficulty of visualizing the graph of the function in degrees (graph 1), we will graph it in radians (graph 2)
f(x)=−sin(3x)−1 ≡ y=−sin(3x)−1
To graph y=−sin(3x)−1
y=a.sin(bx+c)+d, where
a=-1, b=3, c=0, d=-1 and the period (T) of the function is:
[tex]T=\frac{2\pi }{b}=\frac{2\pi }{3}[/tex]
On the graph 2 we place the original function y=sin(x) to compare
We watch that y=−sin(3x)−1 moves 1 down (-), but amplitud is the same (1)
Frequency is the number of repetitions (3x) of a function in a given interval, so
F=3
