Tag: trigonometry

Trigonometric Tricks in Geometry

I was digging through some old notes of questions I had done in the past and came across this one. I don’t remember who gave me this question but it was a fascinating one that combined both geometrical reasoning and the sine rule. Question In the triangle \(ABC\), \(AB...
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The Perfect View

I don’t remember where I got this question from (probably a textbook somewhere) but I remember it specifically for the different kind of way I went about solving it. Most people like to make a single variable the subject before differentiating, and this is usually the only way they...
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Special Integral: \(\int_0^\frac{\pi}{2}\ln(\sin x)\;dx\)

I remember when I was in Year 12, we were given this question on an integration worksheet that challenged my friend, Parth, and I so much so that we stayed back after school to use the large whiteboard to solve this problem even after all our friends had left...
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Vector Question from Hong Kong 1990

This question comes from the HKCEE 1990 paper (that’s before I was born!). This was an interesting vectors question that one of my IB students in Mathematics SL dug up for me. There aren’t any vectors in the HSC syllabus yet, but they soon will be… Question In the...
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