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Hi, Stuck on this question: convert x=tanx-sinx and y=tanx+sinx to cartesian form. Thanks!

Thanks, but just a little confused regarding point 1), you mentioned x=/=0, so why is that a closed circle then?

Hi, 1) Just wondering what happens when you reciprocate a vertical asymptote. For example if you are given the graph y=1/x and asked to reciprocate it, will the origin be an open circle or closed circle. 2) If you are NOT given the equation of y=1/x but given something that looks similar...

How come the Ngo and Sons have made solutions already? I thought coaching colleges can't access these papers since they are copyrighted by NESA?

Thanks for the fun!

what? is that banned?

Hi will there be a 2018 version?

Was stuck on a question: Sketch the locus defined by arg(z^2+z)=pi/3, stating its equation. Obviously this will turn into the hyperbola with the positive branch, but how do we find the equation? Also, anyone know when the bored of studies trial will be held this year, of is it held already...

Hi, A bit confused with the use of the notation y=f(x). If we have the circle x^2+y^2=1, we can obviously rearrange and make y the subject which gives y=+-(1-x^2)^0.5. Is it wrong to write f(x)=+-(1-x^2)^0.5 since this is not a function hence we can't use f(x)? If so, does that also mean...

Consider the integral of sin(2x+1). I note the normal method would be to let u=2x+1(if you are asked to use substitution). But can someone explain the following method: integral (sin(2x+1)dx)=integral(sin(2x+1) d(2x+1)/2)?

anyone know if this is coming T_T

oh dear...so anyone else going to make a paper to sit?

Does anyone know if BOS is making a 2017 paper and if so when? Would like to sit it.

Hmm...im still not convinced for some reason...i understand the slice's area is given by A=lw, but how do we know w and h is LINEARLY dependent? As in, why can't w=mh^2+c for example?

Was reading volumes by terry lee and it was a trapezoidal solid/frustum and we had to find the volume using similar solids. Mr Lee's answer claimed that the height (h) of the solid is linearly dependent to x which measures the length of the typical slice/cross-section. Is this valid? i mean we...

wow very advanced haha, thanks! more reading now! but generally speaking for INDICES a^x, the base a CAN be negative right? So for example, x^(2/3)=4, we can have -8? I guess what i'm trying to clarify is, in logs, base cant be negative, but in exponentials it can? And thats why in the...

thanks, what's the reason behind this?

hi, is it safe to assume index laws and logarithmic laws only apply(apply without need to confirm other things...) for positive bases? E.g. for equations like log(base x) 4=2, we only get the answer of 2 and not negative 2 right?

thanks thats very clever. appreciate your help!

Hi yes i have gotten the answers, but was just wondering, if you use the sine rule, you get two answers 75 degrees and 105 degrees by ambiguous case, whereas cosine rule gives only 75 degrees. can you explain the reason for rejecting 105 degrees?