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question for u math gods. I thought this question was a little crazy. does anyone have any ideas? By using the t-formulae, show that the equation a sin x + b cos x = c has real roots if a^2 + b^2 >= c^2

it's amazing.

who isn't?

yer i thinkyour right i just need practise. thanks i think i get it now. ive just got to the signs right .

ok, but this one has only one solution which is 33degrees41mins 3 cos x + 2 sin x = square root of 13 between 0<=x<=360 why wasnt the 360 - 33'41' counted?

well the fitz textbook has three sol'ns in the answers, so is 0 the same as 360?

hey, the answer to sinx + cosx = 1 with 0<=x<=360 is 0, 90 , and another answer is 360 how does this 3rd answer come about? thanks. using the a sin x + b cos x = r sin (x+alpha)

haha, the Q is acturaly 3tan^3 x - 3tan^2 x - tanx + 1 = 0 solve between 0 and 360 degrees. the -2tan^2 x changed to -3tan^2 x sorry , ive got the right answer now anyway.

really well its in my fitz textbook.ill ask my teacher. thanks anyway.

hey, this is a question concerning the trig topic in the prelim course. is there a simpler way to do it rather than polynomials since we havent done that part of the course yet. 3tan^3 x - 2tan^2 x - tanx + 1 = 0 solve between 0 and 360 degrees. thanks

thanks

hey, ive got a question from my mathematics extension assignment and ive need a little bit of help. thought it might be fun for those of u in year 12. For the points A(-5,-1) and B(1,0): (i) Write down the coordinates of P, the point that divided AB in the ratio K:1 (ii) If P lies on xy=1...

with the sol'n of cosx = -3/2 that has no sol'ns doesnt it cause its over 1??? in the graph?

hah, way to go, thats quick thats the right answer too from the textbook. how about this one? 0<=x<=360 2sin^2 x + cosx = 1 the answer has four sol'n can u help?

hey sorry if this is in the wrong thread but its about the subject which isnt a specific thread in the prelim section. anyway solve between 0<=x<=360 2sin^2 x-3cosx=2 thanks for any help, if this is in the wrong thread please tell me.

hey, im currently in year 11 and, although i shouldn't be thinking about uni, was just wondering if any one could tell me what they like/dislike about the economics courses up there. thanks

yes

you learn so much from the year 11 half yearlies. just learn from your mistakes and you wont make them again.

just focus and concentrate. im not doing too well in ex and i would love to do 4 unit, it is about the effort you put in. after my half yearly results i am going to put a lot of work into improving my knowledge of the course. just keep going.

getting money and having a job isnt the only thing thats important. you should enjoy uni. dont go to uni just to climb the ranks of the career ladder.