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Tuesday, September 27, 2005

Scribe Time

Im not really good with words, because I'm better explaining with pictures, so it might seem like there's so much to read, but really its just the pictures taking up the space.

Well in today's class, we started off with Mr. Kuropatwa giving us a worksheet. It was questions on what we learned on the previous class. Examples of that, would be determining which values of Sin x, Cos x and Tan x is in which quadrant. If...












Cos x is positive in quadrants 1 and 4.
Tan x is negative in quadrants 2 and 4.
So for the above question to make it true, it only lies in quadrant 4.

Another question was finding the related angles. First thing you would do, is find the related angle, which is the smallest angle, it makes with the x-axis. Then you would find, what quadrant it lives in.
Example: Finding the related angle for 120.













Another type of question we did, was finding Cos x and Sin x from a point on a graph.
Example: Find Cos x and Sin x with the point (6,8)
First thing you would do is plot the point.
Then drop down a vertical line perpendicular to the x-axis.
Then find c using Pythagorous.


















You know that Cos x=Adj/hyp, and Sin x=opp/hyp
So the answer for this question would be:
Cos x=6/10, which is reduced to 3/5
Sin x=8/10, which is reduced to 4/5

Then he gave us questions on the board, that had to do with solving for x. It started off with a couple of easy ones. Then he put harder ones, that had to do with cos and sin. I never knew that was even possible, but yeah anyways heres an example:
2 Cos x - 4 = 5 Cos x - 6
First you would, get cos x by itself





















Then you would find on your calculator, that x = 48.
BUT!!! Since Cos x is positive it can be in quadrant 1 and 4

To find the value in quadrant 4, you would minus 48 from 360 to get 312.

So that was about it for this class. Even 2 minutes to spare. I guess it was okay, it wasn't all that hard. If I left anything out, sorry!!!=s
Anyways the next scribe is JessiccaI.

5 Comments:

At 9/27/2005 9:14 PM, Blogger AichelleS. said...

I like the pictures, it's very helpful.

 
At 9/27/2005 9:20 PM, Blogger Craig K said...

great diagrams! They're very explanitory

 
At 9/27/2005 9:20 PM, Blogger Richy said...

Great Job. Great pictures. Did I miss anything...

 
At 9/27/2005 10:08 PM, Blogger Mr. Kuropatwa said...

BAM! Another notch!

I love the graphics!!

 
At 9/27/2005 11:29 PM, Blogger KAT L. said...

Good Job :)


*two thumbs up*

 

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