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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 [...]

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 [...]

I saw this trigonometry question a few days ago. Hint:

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) (ii) (iii) Let P(n) be the statement When , Assume P(k) is true for [...]

I always stress to students the importance of the basics of complex numbers, that is The three forms of the complex numbers. I have shown how to derive from the cartesian () to trigonometric form [...]

This is a question from AJC/C2/MY/P1/10. Quite challenging. But once you get the hang of it, you should be capable of solving other variations. Using the formula for , prove the . (i) Hence show [...]

, and go to a party. and are partying away but is miserable and anti social. and go up to and say ‘what’s wrong, why don’t you integrate?’ replied, It doesn’t make [...]

I’m one who really hates memorizing formulas, be in as a student or tutor. So I shall share how I remember the three very useful trigonometry identities. I’ll start with the one which [...]

This will be about integrating product of trigonometric functions with no powers involved for example, or . The simple trick here is to use the product to sum to formulas that can be found here. [...]