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"In #ALevelMaths #MathsToday we started off with this past paper question using the binomial expansion and small angle trig approximations, then went off to Desmos to investigate why both the binomial expansion and the small angle approximations are only valid for small values of x."
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"An A Level exam question, AQA Paper 1 from June 2022"
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"A Desmos graph showing a function and the first two terms of its binomial expansion. The graphs are close for small values of x, but then diverge."
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alt:
"A Desmos graph showing y=sinx and y=x. The graphs are close for small values of x, but then diverge."
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"A Desmos graph showing y=cosx and y=1-x²/2. The graphs are close for small values of x, but then diverge."
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createdAt:
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