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N95/II/12 Given that where , express the real and imaginary parts of in terms of . (i) Hence show that the point representing in an Argand diagram lies on the curve with Cartesian equation . (ii) [...]

Thinking@TheCulture is a series of questions that we, as tutors feel that are useful in helping students think and improve their understanding. Thinking Math@TheCulture is curated by KS. More of [...]

I’ve covered some things in classes, with sufficient revisions and final lap papers set. So I thought we have a little breakdown. And of course, we should review what was weeded away in the [...]

Given and

Show that . Hence show that For the first part, we can simply apply Euler’s Formula, that is The next part is a little more tricky, and since its hence, we will use what we solved [...]

I’ve come across many questions from students regarding complex numbers, and here is one thats quite fun to deal with! Now this is really interesting, but can be solved with a bit of [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) Max. Min. (iii) Max. KS Comments: This question is standard [...]

This is one question that I know ALL my students can excel in doing, that is solve . So I’m not interested in showing you how to solve such problems, but I want to explain a particular step [...]

Complex Numbers would definitely is one of my favourite topics in Pure Mathematics. Its a pity that H1 Mathematics will not to get to learn them. Firstly, Complex Numbers is being used very [...]

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) Observe we let , then (iii) (iv) Both perpendicular bisector [...]