Sin,Cos,tan Curves (Drawing and reading graphs)

Amacfa

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Oct 23, 2007
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I'm having a bit of trouble with my Trig.

We're learning about Cos and Sin curves. Here are some examples of what I am being asked to do.

Drawing Graphs

Simpler to complex

Graph y=SINΘ and state the minimum and maximum

Graph y=2COS3Θ and state the minimum and maximum

Graph y=4-6SIN3(Θ+30) and state min and max

Same thing vise versa, I'll be given a graph and I'll be asked to put it in that equation.
 
Amacfa said:
I'm having a bit of trouble with my Trig.

We're learning about Cos and Sin curves. Here are some examples of what I am being asked to do.

Drawing Graphs

Simpler to complex

Graph y=SINΘ and state the minimum and maximum

Graph y=2COS3Θ and state the minimum and maximum

Graph y=4-6SIN3(Θ+30) and state min and max

Same thing vise versa, I'll be given a graph and I'll be asked to put it in that equation.

For these types of problems, I am afraid you need a face-to-face tutor.
 
is it like doing the transformation of it? i had some problems with stuff like this and noone could help. ummm well lets see the formula my teacher gave us was

y=asin[b(x-c)]-d

the a is the amplitude tells how the line stretches or shrinks vertically.

1<a shrinks the graph and anything larger than 1 stretches it
if its a negative number it cause it to flip over the x axis i believe

the b determines the shrinking or stretching horizontally and if its negative it flips over the y axis

so basically numbers less than 1 cause it to stretch and greater than 1 cause it to shrink

the c determines how much the graph translates left of right. if its positive it goes to the left and negatives go to the right

the d is easiest it just tells translation up or down. negative down positive up

so for example y=2sin[3(x-3)]+2 will have these descriptions

vertical stretch of 2 -gotten from your amplitude which is the a value or in this problem the 2 infront of sin
horizontal shrink of 1/3 - when you write the width you just flip what the number in the b is. so its above 1 which makes it shrink and the recipricol is 1/3 so it shrinks 1/3
horizontal translation right 3 -the c which is the -3 causes it to shift right
and veritcal translation up 2-just the positive 2 at the end
remember
amplitude is the number with the trig function like the 2
period i believe is B/2pi im not sure i dont have my book with me
wavelenght is the recipricol of period .

i hope this helps. and i hope im right. i missed 3 days of class for a funeral and my teacher handed me the homework said learn it and i tested on it the next day. first time i was happy to get a 68 on a test. sry if it doesnt help or im vague or its not even the right topic. good luck
 
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