HOW TO: Sketching trigonometric graphs!

[/0]

fark! This is brilliant! This method works especially well for graphs with big domains

[trinon]

great work

sketching of tan graphs are a bit different though right? ive always struggled with that

Heh. I'll fix the guide with tan graphs tomorrow or something.

awesome, just one more Q- how'd you get the 3pi/12 for the horizontal translation?

You mean at the start in step 6? is equal to .. multiple both the top and the bottom by 3.

 

[vce01]

great work

sketching of tan graphs are a bit different though right? ive always struggled with that

Heh. I'll fix the guide with tan graphs tomorrow or something.

awesome, just one more Q- how'd you get the 3pi/12 for the horizontal translation?

You mean at the start in step 6? is equal to .. multiple both the top and the bottom by 3.

 

ohh yeah, but, whats the point of doing that? lol

and when i add the scale factor, to say a point on the max line, the next point i get is on the max line again. is that how it should be or am i doing something wrong?

p.s. im the only one having probs with this cuz i suck at methods lol -_-

[trinon]

What you're meant to do is alternate between the max, middle and min line every time you add the scale factor.

[cobby]

this is awesome!!!!!

[onlyfknhuman]

What is Scale factor?

[cobby]

What is Scale factor?

hey can you tell me what the scale factor is?

The scale factor is a method invented by my teacher (as far as I know..) that helps with sketching the graph. It is basically the distance between each min/max/central axis point. The idea of it is that you mark on the graph the starting point (in this case ) and then mark the max, middle, min, middle every 'scale factor'. This will later help with getting the general outline of the curve without needing to find all the x-intercepts.

[ReVeL]

Greaaat guide trinon.

I'd +5 karma if not for the 12 hour rule...

[sxcalexc]

WOO! This makes graphing fun rofl. It's what I usually try to do in my head but the structure helps immensely. Would it work the same with vertical translations also?

Another question, do we need to show working of the axis intercepts? Or will symmetry/scale factor suffice?

[trinon]

WOO! This makes graphing fun rofl. It's what I usually try to do in my head but the structure helps immensely. Would it work the same with vertical translations also?

Another question, do we need to show working of the axis intercepts? Or will symmetry/scale factor suffice?

This works fine with a vertical translation, I just didn't do one because I couldn't find a suitable equation. It's essentially the same process except you'll be putting a dotted line where the central axis is just to get a better idea of where everything is on the graph. Another note when doing a vertical translation is that you will nearly never get perfect intercepts. You are most likely to get things like and factors which makes it harder to graph. Don't do this by recognition of the points of the curve and where it intercepts the x/y axis. Do it by solving the equation for all values of x.

That being said, unless the graph is worth 1 mark, it is generally the rule that you show full working out for finding the x-intercepts. If you don't get around to doing it then if you have time at the end of the exam come back and do it properly, it should gain you some marks (again if it's worth more than one mark).

[sxcalexc]

WOO! This makes graphing fun rofl. It's what I usually try to do in my head but the structure helps immensely. Would it work the same with vertical translations also?

Another question, do we need to show working of the axis intercepts? Or will symmetry/scale factor suffice?

This works fine with a vertical translation, I just didn't do one because I couldn't find a suitable equation. It's essentially the same process except you'll be putting a dotted line where the central axis is just to get a better idea of where everything is on the graph. Another note when doing a vertical translation is that you will nearly never get perfect intercepts. You are most likely to get things like and factors which makes it harder to graph. Don't do this by recognition of the points of the curve and where it intercepts the x/y axis. Do it by solving the equation for all values of x.

That being said, unless the graph is worth 1 mark, it is generally the rule that you show full working out for finding the x-intercepts. If you don't get around to doing it then if you have time at the end of the exam come back and do it properly, it should gain you some marks (again if it's worth more than one mark).

Cheers. Bummer, lol, thought I could get out of doing intercept workings Do you think they'd give us a tan graph to sketch on exam 1?

[trinon]

WOO! This makes graphing fun rofl. It's what I usually try to do in my head but the structure helps immensely. Would it work the same with vertical translations also?

Another question, do we need to show working of the axis intercepts? Or will symmetry/scale factor suffice?

This works fine with a vertical translation, I just didn't do one because I couldn't find a suitable equation. It's essentially the same process except you'll be putting a dotted line where the central axis is just to get a better idea of where everything is on the graph. Another note when doing a vertical translation is that you will nearly never get perfect intercepts. You are most likely to get things like and factors which makes it harder to graph. Don't do this by recognition of the points of the curve and where it intercepts the x/y axis. Do it by solving the equation for all values of x.

That being said, unless the graph is worth 1 mark, it is generally the rule that you show full working out for finding the x-intercepts. If you don't get around to doing it then if you have time at the end of the exam come back and do it properly, it should gain you some marks (again if it's worth more than one mark).

Cheers. Bummer, lol, thought I could get out of doing intercept workings Do you think they'd give us a tan graph to sketch on exam 1?

It's a definite possibility. I'll write up a sequel to this later for tan graphs.

[bturville]

this is exactly the method i used last year, works really well & quickly too.

[sxcalexc]

WOO! This makes graphing fun rofl. It's what I usually try to do in my head but the structure helps immensely. Would it work the same with vertical translations also?

Another question, do we need to show working of the axis intercepts? Or will symmetry/scale factor suffice?

This works fine with a vertical translation, I just didn't do one because I couldn't find a suitable equation. It's essentially the same process except you'll be putting a dotted line where the central axis is just to get a better idea of where everything is on the graph. Another note when doing a vertical translation is that you will nearly never get perfect intercepts. You are most likely to get things like and factors which makes it harder to graph. Don't do this by recognition of the points of the curve and where it intercepts the x/y axis. Do it by solving the equation for all values of x.

That being said, unless the graph is worth 1 mark, it is generally the rule that you show full working out for finding the x-intercepts. If you don't get around to doing it then if you have time at the end of the exam come back and do it properly, it should gain you some marks (again if it's worth more than one mark).

Cheers. Bummer, lol, thought I could get out of doing intercept workings Do you think they'd give us a tan graph to sketch on exam 1?

It's a definite possibility. I'll write up a sequel to this later for tan graphs.

Pro

[Chocoholic]

OMG!!! thak you soo much trinon. Before I went through this guide my graphs looked like different sized mountains next to each other. Some were skinny and tall...fat and short...the works!!!