juriemagic

oh my...thanks...will try further..

Thank you, I do appreciate...will tackle them...

Hi, actually no...just realised it cannot be 1 because you have to work from left to right..Thanks for your time

Hi Melody,

Thanks for your feedback...well, the question how I gave it is preceisely how it is on the paper...They give the graph, you can clearly see "a" is 1, yet they ask to calculate "a" for 4 mnarks...anycase, thanks for your time...always appreciated...stay well..

Hi Melody,

okay, but then that answer you got is just a different format to indicate your are still deviding by 6, so it really is exactly the same thing as having an LCD, not so?...So, when can I just multiply straight through using the highest denominator, to end up not having an LCD or a fraction in front of an expression?

Hi guest,

yes the answers are different...okay, so it's about the = sign then...I see, thank you for clearing that up for me..I do appreciate..stay well

You are such an idiot!!

Absolutely...as I keep on teaching I'm sure it will also cement into my memory especially with a lot of exposure to the same kind of problematic type of questions....

Good morning Melody,

I trust you are well and that things are going great for you.....Thank you for the explanation....You know, I knew there was a reason for that and I kind of understood that the cube function was not symmetrical....I explained it to my student my way, but realised I needed to get a more mathematical approach to explain this, which you did, and I am grateful....Thank you so very much Melody....

You know, I have come to realise that with you and all the other moderators on here, whenever you see a problem, or get some kind of question, the computer kicks in, almost like AI, and basicslly all kinds of approaches are computed, including limitations, with reasons, and a final answer or explanation surfaces within moments.

As for me....well that simply does not happen.......I may think of one thing only...and NOT get the result I want, or the explanation to a question I want....LOL I believe you understand what I'm babbling on about here......

I really take my hat of to you and all the other great people on this forum!!..Thank you  

Thank you!!!

Thank you guest, great help...apreciate!

oohh, i see,

I saw the 16 Sin and 8 Sin as 16 apples and 8 apples, so we are left with 2 apples..(2Sin)...SO, the Sin in itself cancels?....so 16 Sin devided by 8 Sin =2...and NOT 2Sin...I understand now...thank you for your patience and assistance!!...I do appreciate!!!..Thank you!

Thank you guest,

I'll check that out..stay blessed..

guest,

please just a little something..I have scrutenized tghe list of identities you gave, but still fail to see how you got your remainder after factorisation:

you've got:

($8Sin(x)Cos(x)[2Cos^2(x)-1]$

I got:

($8Sin(x)Cos(x)[2Sin(x)Cos^2(x)-1]$

what happenend to the 2Sin(x)?

guest,

you had been helpful beyond believe!!...Thank you for your inputs and I will definitely make a copy of this and go study....Thank you very much!