Posted in core 4, integration

When you integrate a function - for instance, $\cos(3x)$, you probably have to stop for a moment and think: "Do you multiply by 3 or divide when you integrate?" Some people don't even get that far, and just say "Oh, it must be $\sin(3x)$", and all of us can just

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Posted in integration, triangles, trigonometry

There is one big-daddy among the trig identities that you need to learn right now, if you don't know it already: $$\sin^2(x) + \cos^2(x) = 1$$ This is the identity that nearly all of the others spring from. There are some more definitions: $tan(x) = \frac{\sin(x)}{\cos(x)}$, which is one of

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Posted in free-for-all friday

It's that time of the week again! What's been on your mind? What's giving you a headache? As always, drop your questions in the comments box and I'll get back to you as swiftly as I can!

Read More →While I'm quite steadfastly refusing to be swept along with either Olympics fever or anti-games grumbling, I stumbled across the Wikipedia page for the decathlon in a moment of nostalgia for my 1980s childhood tapping the keys of the ZX Spectrum - a system that was kind of like an

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Posted in calculus, integration

When you learn how to integrate by parts, you're probably told that a good rule of thumb is that if you have a power of $x$, that's going to be the thing you differentiate. That's a pretty good heuristic, but there are two places it breaks down: one, if you're

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Posted in free-for-all friday

Frankly, the first free-for-all-Friday of February! Fandabbydozy. You know the drill: whatever questions you've got about any part of A-level maths - AS, A2, further, whatever you like - bring 'em on. Something your teacher rushed through, or something you don't understand why... ask away!

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Posted in gcse, trigonometry

My dad tells me that, above the blackboard in his 1960s Scottish high school, was a banner with the letters 'SOH CAH TOA' written out on it. Any questions about the banner were brushed off with a smile and 'you're not old enough to learn about SOH CAH TOA yet."

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Posted in ranting

There are many questions with only one answer. Or at least, one sensible answer. If someone asks you "Are you dead?", the only possible answer you can give is "no". "Does my bum look big in this?" "Of course not, dear, it looks lovely". And if you say "Is there

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