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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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772 prompts matching "Testing a*b against b*a for a given rule"

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WAEC Prep: Finding a coefficient of a cubic given one of its roots

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Common Mistakes: The range of values of x for which an expression stays positive

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Show All Working: Arrangements of the letters of a given word

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Quiz: The compound angle formula for sine of A plus B

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Practice: The compound angle formula for cosine of A minus B

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Explain Back: The compound angle formula for tan of A plus B

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Spot My Mistake: The double angle formula for sine

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WAEC Prep: The three forms of the double angle formula for cosine

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Show All Working: The half angle formulae and the t-substitution

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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WAEC Prep: Solving an equation by first applying a double angle formula

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Explain Back: The equation of the line through two given points

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Spot My Mistake: The general form ax plus by plus c equals nought

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WAEC Prep: Proving two given lines parallel from their gradients

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Show All Working: Proving two given lines perpendicular from their gradients

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Worked Example: The equation of a circle with a given centre and radius

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Common Mistakes: The condition for a line to be a tangent to a circle

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Worked Example: The parametric form of a point on a parabola

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Practice: The ellipse in standard form, and its two axes

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