SO I have decided not to put any answers up, but if you CAN ALWAYS check to see if you got the right answers by plugging each side of the equation into your calculator and calculating the intersection points. Make sure you are using the right mode and window.
Here are hints for each problem (13+):
(13) Write sec as 1/cos and move to the other side. Combine the fractions and set numerator equal to zero.
(15) sec=1/cos, csc=1/sin, combine like 13
(17) Square root of both sides, don't forget +/-. Take reciprocal of both sides.
(19) sin2x=2sinxcosx, factor
(21) cos2x=2cos²x−1, move all to the left, factor trinomial
(23) w=2θ
(25) factor
(27) cos2x=1−2sin²x, factor - you may get a "no solution" factor
(29) w substitution, square root
(31) w=3x
(33) w=2θ, then you have sin2w=cosw, use double angle formula sin2x=2sinxcosx, move all to the left, factor. This one's tricky.
(35) sin2x=2sinxcosx, multiply both sides by sinx, push cos to the left and factor
(37) cos2x=1−2sin²x
(39) w=2θ+10, then solve for x after you get w. Not as hard as you think...
(41) same tactic as 39
(43) Use graphing calc for now....might be easiest to use angle sum/difference formulas, which we haven't learned yet....any better ideas post them here
(45) cos2x=1−2sin²x, use quadratic formula (!)
If you need clarification on any of this feel free to comment here and I'll respond as soon as I can. I'll be moonlight bowling tonight though, so you may not hear back until late tonight or tomorrow.
Mar 29, 2008
Hints for "Written Exercises"
Mar 14, 2008
Mar 13, 2008
Mar 12, 2008
Links from Mr. Jacobs
This is a test to see if I can directly link to his worksheets.
test
Ok, I will soon be linking directly from Mr. Jacob's website for Algebra 2.
Chapter 5 worked-out solutions
Here they are. Remember, it's a big file, so be patient, or right-click "save as" to download it permenently on your home computer.
Mar 10, 2008
Algebra 2
Graphing simple rational functions is in the second half of the powerpoint, so just skip past the first few slides.
Feb 27, 2008
Precalc Review Key
Here it is **updated w/o errors**. It's also in the downloads section.
"Go fast and take chances" is my motto on the ski-slopes, but it doesn't work too well on review keys. (Or for Sunny Bono...) If you find an error, comment or email please. 1 EC test point for each error!
Algebra 2
Your formative assessment (review) KEY on 7.1-7.5 is now in the Algebra 2 downloads section. Or click here.
Feb 22, 2008
Beard Poll
I'm not doing half-and-half, or progressive (sorry Ryan). But here are your choices.
-----Full Beard----------------------Full Goat---------
------Handlebars--------------------"Geraldo"-----------
--------Soul Patch-----------------Clean Shaven---------
Precalc Stuff!
The Key and Powerpoint are now available.
Here's what you should know for the test:
-unit circle
-radians
-reference angles
-graphing all six trig functions
-know: amplitude, period, phase shift, vertical shift, reflections
-know the two different forms ( y=AsinB(x-C)+D vs. y=d+asin(bx-c) ) and the difference between them.
-graphing will be the major portion of this test and you need to have a complete understanding of all 6 trig functions!!!!!!!!!
-inverse functions, including domain restrictions and how to find/use + drawing triangles for compositions
-Domains of all six trig functions and how to find
Jan 31, 2008
Jan 23, 2008
Jan 10, 2008
HP Precalc
The home ownership and investing your money powerpoints are now in the downloading section.
Jan 7, 2008
Dec 17, 2007
Dec 15, 2007
Chapter 3 Review
As requested, here it is!
I am having some trouble with my normal uploading site, so if that one doesn't work, try either this one or this one. If anyone has a good tip on a site I can upload to and hotlink files, let me know.
I'll probably put the key up on Monday, but we'll see... =)
Dec 7, 2007
HP Precalc
Look in the downloading section for the Log properties power point and the chapter 3 assignment grid!