Hi everyone its Diyaa. As u all seen I haven't been coming to class, the reason for this is i do not attend Daniel McIntyre anymore. I go to kelvin now, I'm sorry for not telling anyone or posting this earlier but all week Ive been so busy. Mr.K I ask for your permission to stay as a member of this wonderful blog. I miss Daniel McIntyre so much and hope to attend there once again next year so till then good luck and have blogging and keep studying.
-Diyaa
September 30, 2006
September 29, 2006
Today in Math Class
Hi it's me Ben. Today in class we had to work on two worksheets because unfortunately Mr. K was off to a Math workshop :-( Our substitute got us started by helping us with the first few questions on the first worksheet. Here's what he explained:
The first question ask for the values of Θ on the interval 0°≤ Θ ≤ 360° for the following questions and I have added a picture to help understand:
a) sinΘ<0 and cosΘ≤0
c)tanΘ>0
d)cosΘ≤0
Quadrant I:
sinΘ›O
cosΘ›O
tanΘ›O
Reason: The value/ratio of sin, cos, tan is positive therfore in the 1st quadrant
Quadrant II:
sinΘ›O
cosΘ‹O
tanΘ
‹O
Reason: The value/ratio of sinΘ is positive while cosΘ and tanΘ are negative
Quadrant III:
sinΘ‹O
cosΘ‹O
tanΘ›O
Reason: The value/ratio of sinΘ and cosΘ is negative while tanΘ is positive
Quadrant IV:
sinΘ
cosΘ›O
tanΘ‹O
Reason: The value/ratio of sinΘ and tanΘ is negative while cosΘ is positive
The question is asking which quadrant is each condition found so:
a) sinΘ‹O and cos Θ›O
Answer: Quadrant IV because sin Θ is negative and cosΘ is positive and the only quadrant where that happens is in quadrant IV
b)sinΘ>O and cosΘ≤O
Answer: Quadrant II because sinΘ is positive and cosΘ is negative and the only quadrant where that is true is in quadrant II
c)tanΘ>O
Answer: Quadrant I and III because the only quadrant where that is true is in quadrant I and III
d)cosΘ≤O
Answer: Quadrant II and III because that only quadrant where that is true is in quadrant II and III
The next thing he explained helped us remember what each variable of the Sin/Cos Wave Formula stood for:
y=A sin B (x-C) +D
y=A cos B(x-C) +D
A-The A represents the amplitude or the direction of opening
B- The B tells us how much the wave is horizontally compressed but unfortunately B is taught in grade 12 not in grade 11
C- The C represents the Phase Shift which tells us the horizontal shift or how far the wave is moved on the x-axis
D- The D represents the Sinusoildal Axis which tells us the vertical shift or how far the wave is moved on the y-axis
With that information in mind we were able to finish the second work sheet which told us to state the amplitude, vertical shift, and horizontal shift.
Well that's my edition of the scribe and I hope this helps everybody that reads this to understand trigonometric functions on the Cartisian Plain. Oh yeah the scribe for tomorrow is the one and only... Mel!issa. Have fun and good night y'all!
The first question ask for the values of Θ on the interval 0°≤ Θ ≤ 360° for the following questions and I have added a picture to help understand:
a) sinΘ<0 and cosΘ≤0
c)tanΘ>0
d)cosΘ≤0
Quadrant I:sinΘ›O
cosΘ›O
tanΘ›O
Reason: The value/ratio of sin, cos, tan is positive therfore in the 1st quadrant
Quadrant II:
sinΘ›O
cosΘ‹O
tanΘ
‹OReason: The value/ratio of sinΘ is positive while cosΘ and tanΘ are negative
Quadrant III:
sinΘ‹O
cosΘ‹O
tanΘ›O
Reason: The value/ratio of sinΘ and cosΘ is negative while tanΘ is positive
Quadrant IV:
sinΘ
cosΘ›O
tanΘ‹O
Reason: The value/ratio of sinΘ and tanΘ is negative while cosΘ is positive
The question is asking which quadrant is each condition found so:
a) sinΘ
b)sinΘ>O and cosΘ≤O
Answer: Quadrant II because sinΘ is positive and cosΘ is negative and the only quadrant where that is true is in quadrant II
c)tanΘ>O
Answer: Quadrant I and III because the only quadrant where that is true is in quadrant I and III
d)cosΘ≤O
Answer: Quadrant II and III because that only quadrant where that is true is in quadrant II and III
The next thing he explained helped us remember what each variable of the Sin/Cos Wave Formula stood for:
y=A sin B (x-C) +D
y=A cos B(x-C) +D
A-The A represents the amplitude or the direction of opening
B- The B tells us how much the wave is horizontally compressed but unfortunately B is taught in grade 12 not in grade 11
C- The C represents the Phase Shift which tells us the horizontal shift or how far the wave is moved on the x-axis
D- The D represents the Sinusoildal Axis which tells us the vertical shift or how far the wave is moved on the y-axis
With that information in mind we were able to finish the second work sheet which told us to state the amplitude, vertical shift, and horizontal shift.
Well that's my edition of the scribe and I hope this helps everybody that reads this to understand trigonometric functions on the Cartisian Plain. Oh yeah the scribe for tomorrow is the one and only... Mel!issa. Have fun and good night y'all!
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.