Re: HSC 2014 4U Marathon
lol wtf I was waaay off with my answer :L
umm i have no clue how you can arrive from cos (7pi/12) to cos(pi/24) but all i can see right now is to rationalise the denominator lol
Re: HSC 2014 4U Marathon
I put what the expansion was in mod-arg form because I saw that the second part had cos and angles in it so that's why I assumed that I was suppose to put it into mod-arg form. And lol there are calculators for a reason. arg = arctan(y/x) = arctan(1+root3/1-root3) = -5pi/12
Re: HSC 2014 4U Marathon
Okay you know i'm shit at maths so let me attempt this
\begin{align*}\textup{i}) (1 + i\sqrt{3})(1+i) &= 1 + i + i\sqrt{3} + \sqrt{3}i^2 \\ &= (1-\sqrt{3} + i(1+\sqrt{3}) \\ &= \sqrt{8}\textup{ cis} (-\frac{5\pi}{12})\end{align*}
smh i got -5 pi/12 and so i have...
Gale is a strong 1/10 in terms of hotness lol. I mean Katniss is kinda a slut because she's like with 2 different guys lmao but if I were her, I'd go for Peeta because it's Josh Hutcherson who is a strong 12/10