Question

Can you please help me here?
Trigo behaviors Q:

State the period, amplitude, max/min values, range, domain, horizontal phase shift and vertical displacement.

Answer 1

I Guess
\( y = A\cos(wt + \phi) + C\)

A will be your amplitude so, A=3
\(\omega \) will be your (angular *in physics we usually call that) frequency
Period = \(\omega/2\pi\)
\(\phi\) will be initial phase
C will be your vertical shift

Answer 2

*period will be in pi

Answer 3

looks like i missed something.

Answer 4

may I help here?

Answer 5

I would love that:)

Answer 6

Not sure ... it could be sine ... since sin is also harmonic.
period will be 1pi

Answer 7

experimentX is right. and your too open2study

Answer 8

@Shayaan_Mustafa continue ..

Answer 9

ok thnx..

Answer 10

1)Write your equation as,
\[\Large y=-3\cos[2(x-(\frac{30}{2})]\]
look how i wrote the original equation.

\[A=-3\]\[Period=\frac{2 \pi}{B}=\frac{2 \pi}{2}=\pi\]\[\text{phase shift}=\frac{C}{B}=\frac{\pi}{12}=15^{o}\]\[\text{vertical shift}=+1\]

Answer 11

general form