By Dawkins P.

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Extra resources for Algebra/Trig Review (2006)(en)(98s)

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Aspx Algebra/Trig Review In this graph the red plane is the graph of 2 x − y − 2 z =−3 , the green plane is the graph of x + 3 y + z = 5 . You can see 1 and the blue plane is the graph of 2 x 2 + 2 y 2 = from this figure that the three planes do appear to intersect at a single point. It is a somewhat hard to see what the exact coordinates of this point. However, if we could zoom in and get a better graph we would see that the coordinates of this point are (0, −1, 2) . 2. Determine where the following two curves intersect.

Then you get to a calculus course where almost everything is done in radians and the unit circle is a very useful tool. So first off let’s look at the following table to relate degrees and radians. Degree 0 30 45 60 90 180 270 360 3π π π π π π Radians 0 2π 2 6 4 3 2 Know this table! There are, of course, many other angles in radians that we’ll see during this class, but most will relate back to these few angles. So, if you can deal with these angles you will be able to deal with most of the others.

Note that the period does not affect how large cosine will get. We still have −1 ≤ cos ( 2 x ) ≤ 1 3. y = 5cos ( 2 x ) Solution In this case I added a 5 in front of the cosine. All that this will do is increase how big cosine will get. The number in front of the cosine or sine is called the amplitude. Here’s the graph of this function. Note the scale on the y-axis for this problem and do not confuse it with the previous graph. The y-axis scales are different! In general, − R ≤ R cos (ω x ) ≤ R 4.

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