Overall I felt that I understood this unit more than most. The book problems were a lot easier than the problems given in class, such as the Ferris wheel problem and the basketball problem. One thing I could not get was how to get the right window when graphing on the calculator.
Test corrections:
2a) I wrote my equations as x=350t, y=t and x=475(t-1.5)+250, y=t, but my y values should have equaled 1 and 2.
3f) the 45 degree angle would get the most distance (44.7 yd). I got this part but I did not state that it landed 5.3 yd from the end zone.
4) when writing the components, in the vertical component I wrote 70 twice (70cos0+70sin30), but it should have been 90sin30.
Monday, April 22, 2013
Thursday, April 4, 2013
Inverse Trig Functions Test Corrections
5a)
My equation was y=3sin18(x+10).
I ignored the vertical shift, which is supposed to be +4.
I also only calculated half the period. The period should be 40, making it 3sin9, instead of 18.
I also made it +10 when it should be -10.
2b)
Cos-1(sin90)
Cos-1(1)
the only time this happens is at 0 degrees because the Cos indicates only principle values. I included all values.
I am pretty good at memorizing the unit circle values and evaluating compound functions. I can also graph equations fairly well. At the time of the unit, I struggled with providing an equation given a graph. After the subsequent units working with trig equations, I am able to do this more easily.
My equation was y=3sin18(x+10).
I ignored the vertical shift, which is supposed to be +4.
I also only calculated half the period. The period should be 40, making it 3sin9, instead of 18.
I also made it +10 when it should be -10.
2b)
Cos-1(sin90)
Cos-1(1)
the only time this happens is at 0 degrees because the Cos indicates only principle values. I included all values.
I am pretty good at memorizing the unit circle values and evaluating compound functions. I can also graph equations fairly well. At the time of the unit, I struggled with providing an equation given a graph. After the subsequent units working with trig equations, I am able to do this more easily.
Identities and Trig Equations Test Corrections
6b)
5sinx^2-3=0
sin^2x=3/5
(I messed up here; when I took the square root of both sides I didn't take the +/- square root)
sinx=+/-.77
6c)
cos2x+sinx=1
1-sin^2x+sinx-1=0
sinx(sinx+1)=0 (I messed up on the factoring here, I made it sinx(x+1))
sinx=0 sinx=-1
0,180 270
I found this unit to be difficult. I am much better at algebra than at "puzzles." If there are equations that need to be memorized and applied to different situations, I will succeed. If there is no concrete way to do it, I have a difficult time. This is not so for me in many other areas of life. In English, in history, in music, in sports...I can think "outside of the box." Math and science are weak for me, so if there is not, basically, step by step instructions I can know in my head and follow, I struggle.
5sinx^2-3=0
sin^2x=3/5
(I messed up here; when I took the square root of both sides I didn't take the +/- square root)
sinx=+/-.77
6c)
cos2x+sinx=1
1-sin^2x+sinx-1=0
sinx(sinx+1)=0 (I messed up on the factoring here, I made it sinx(x+1))
sinx=0 sinx=-1
0,180 270
I found this unit to be difficult. I am much better at algebra than at "puzzles." If there are equations that need to be memorized and applied to different situations, I will succeed. If there is no concrete way to do it, I have a difficult time. This is not so for me in many other areas of life. In English, in history, in music, in sports...I can think "outside of the box." Math and science are weak for me, so if there is not, basically, step by step instructions I can know in my head and follow, I struggle.
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