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it looks like the tangent function...
recall, the tangent is the opposite over adjacemt, or tan(a) = y/x on the unit circle
the vertical lines are where the tangent is undefined, when x=0, you can't have 0 in the denominator
for the normal tan(a) = y/x x can not be zero, that occurs at angles, 90 and 270,
or pi and 3pi/2 rad
We can already tell that there will be no vertical shift...
a more general form for the tangent function is y = A*tan(Bx + C) + D seen that before?
I love those formulas! :D
Wait, don't tell meh
A is amplitude B is period C is phase shift D is vertical shift
No..pi/b is period I thought?
and -c/b is phase shift?
I'm so confused...period is the only thing different between tan and cos/sin functions..
graph y=a*(b*x + c) + d here and hit create for all 4 a,b,c,d then slide around the values https://www.desmos.com/calculator
you will start to see how each changes the thing
I love desmos!
y=tan(x) is just when a,b, = 1 and c.d = 0
Would it be like y=tan(1/2x + something) ?
what is the period of the graph
remember, the tangent has a period of pi
yeah, but the graph has a period of 2pi it looks like...
it repeats every pi rad for tan(x), and so does that graph, the period is not changed
I'm so confused...
If it was every pi, it would be at 0 and 2pi as well
unlike sin and cos whose period is a full circle 2pi, the tangent has a period of pi.
the graph also has a period of pi, notice each time it crosses the x-axis it is pi further
the period is unchanged B=1, it is not shifted up/down D=0
I know it doesn't have a vertical shift...
tan(x) crosses the x axis when y=tan(x) = 0 , or when sin(x)=0
the graph of the normal tan(x) function has vertical asmytopes at pi/2 +n*pi/2 points it crosses the x-axis at 0, pi , 2pi ...n*pi
this graph is not shifted up/down, or left, right
it is just the graph of y = tan(x)
yeah, the amplitude is also 1, recall the tangent(pi/4) = 1, here it is for every pi/4 past the intercepts
maybe go through these short vids to understand a bit better.. https://www.khanacademy.org/math/trigonometry/trig-function-graphs
once you learn the unit circle and what it is, that is pretty much trig , everything is kinda from that
Trig isn't my friend lol
it will click one day, probably after the class is over and you doing other maths.. lol that how it works
LOL yep! It sucks...the time you need it to make sense it doesn't x'D...I was like this last year with Algebra 2 haha