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do you know your basic trigonometric functions
for which of the three sin,cos,tan is x=0 have an output of y=1
i don't know
so cos is the only one that yields a value of 1 at x=0 so the graph must be...
f(x) = cos(theta) ?
i have a similar one, can you help me with it @recon14193
ok so we know that cos is the only one of the 3 that yields 1 for x=0 and that the other functions sin and tan yield 0
and 0 multiplied by anything is still zero so the only one of the 3 it could be is cos
but this cos has had some shifts and changes do you know the changes
just basic changes for the trig graphs like amplitude period and shifts?
like it's up 3?
ok lets start more toward the beginning do you know what amplitude and period are
not exactly no
ok so amplitude is how far a wave moves from its central line which is just an imaginary line drawn horizontally that passes through the wave so that the crest would be the same distance away as the trough if we look at your previous graph y=cosx we see this is the x-axis
and the crest is at 1 and the trough is at -1 so its amplitude is 1
okay i see that
so where does that line look for the current graph
3 and -1
well those are where the crests and troughs are but where is that center line because in total -3 and 1 are 4 units apart so the center line is at...
yes you got it
so this means the graph is shifted up one
so now we have the graph cos(x)+1 but we know the amplitude is not one because that would mean the crests and troughs would be at 0 and 2 but they are not
so we have a different amplitude so how far away from the center line is 3
sorry went out to dinner
u still there?
anyway yeah the amplitude is 2 so that leaves us with a final equation of 2sin(x)+1