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Trigonometric Identities: Maths & Science Common Mistakes Students Make

Trigonometric identities, logarithms and calculus cause most lost marks. Here’s how to practise each.

Daniel Otieno7 min read
A-Math, step by step

Additional Mathematics in Singapore secondary schools moves fast. With exams moving from the O-Level to the new SEC from 2027, the core skills stay the same.

Trigonometric identities

Keep a single sheet of identities and prove each one yourself at least once. You’ll recognise them faster under pressure.

When stuck on a proof, rewrite everything in sin and cos. It works more often than not.Margin note from Daniel

Free download: JEE physics formula sheetUse it alongside this article. We’ll email it to you.

Calculus applications

Rates of change and stationary points appear every year. Practise reading the question carefully to see what is being asked.

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Written by Daniel Otieno

MSc Applied Mathematics. Teaches Mathematics, Statistics one-to-one on NoteStore, online and in person, and writes study guides for the Journal.

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