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Mathematics 68 Online
zarkam21:

Help

zarkam21:

1 attachment
Vocaloid:

any attempts so far? I would suggest trying to find x-values where the function equals 0, 1, -1 for sin and cos, then connecting them with a smooth line

Vocaloid:

actually you already graphed sin earlier so you can just copy it over for 4

zarkam21:

I actually submitted that practice assignment so :/

Vocaloid:

well, ok, let's start with cos and get back to that what x-value would cos(x) = 1

zarkam21:

1

Vocaloid:

hm, not quite

zarkam21:

2pi n

zarkam21:

sorry

Vocaloid:

|dw:1521829226946:dw|

Vocaloid:

yeah nvm ur right

Vocaloid:

let's plot (0,1) and (-2pi,1), etc.

Vocaloid:

|dw:1521829300712:dw|

Vocaloid:

what about x values when cos(x) = 0?

Vocaloid:

unit circle again |dw:1521829561644:dw|

Vocaloid:

|dw:1521829566819:dw|

Vocaloid:

x values are pi/2 and 3pi/2 so let's plot these on our graph

zarkam21:

Yeah im srry I was looking for a blank graph I could work off of on google couldn't find one

Vocaloid:

|dw:1521829598782:dw|

Vocaloid:

then cos(x) = -1 on odd multiples of pi (according to the unit circle so)

zarkam21:

right

Vocaloid:

|dw:1521829640931:dw|

Vocaloid:

as a short-cut method for graphing sin(x) you just need to shift cos over by pi/2 units

Vocaloid:

|dw:1521829689300:dw|

Vocaloid:

for 5) csc(x) [I know i'm skipping around but it's easy to explain csc right after graphing sin(x)

Vocaloid:

|dw:1521829804166:dw|

Vocaloid:

you just take the sin graph, draw the asymptotes where the zeros of sin are, then draw the loops going away from the vertices like that

Vocaloid:

for 3) remember what the shape looks like / where the asymptotes are?

Vocaloid:

for tan(x) the asymptotes are pi*n + pi/2 , sketch the asymptotes then fill in the rest of the tan graph

Vocaloid:

|dw:1521830392610:dw|

zarkam21:

Yeah I'm getting it, ugh sorry you are having to do all the work :/

zarkam21:

okay for the fourth

Vocaloid:

4 is just sin(x) which is this|dw:1521830706737:dw|

Vocaloid:

it also asks for the zero's/asymptotes for the graph so be sure to label those

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