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Consider the function f(x) = 3.sinx / (2 + cosx). Show that f(x) < x for x>0. This was Q16 from a 2012 trial paper, and the solutions used calculus (proof that derivative of x - f(x) is always positive). I was wondering if there was a non-calculus way to prove this. Something I came up with...

Prove that a/b +b/c +c/a is greater than or equal to 3, where a,b and c are positive numbers. Just can't figure out how to do this one. I also have a question about inequalities in general. When writing a proof, do we always have to start from a known statement and then reach the...

So i got a really bad teacher for eco this year who doesn't teach anything (they spent the entire week telling us what a 'want' is). So any tips going about learning eco by myself? I already purchased the market economy 2013 prelim. and excel prelim economics. And can anyone give tips on Eco...