The parts of a trigonometric function are:
[tex]y=A\sin(Bx+C)+D[/tex]Where:
A= Amplitude
2PI/B= Period
C= Phase
D= Shift
You have:
[tex]y=3\cos(2x+\frac{\pi}{3})-1[/tex]So
Amplitude= 3
Phase= π/3
Shift= -1
And the period:
[tex]P=\frac{2\pi}{B}=\frac{2\pi}{2}=\pi[/tex]The period = pi
