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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,120 prompts matching "Writing a root as a fractional index before simplifying"

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Spot My Mistake: Solving an equation by first applying a Pythagorean identity

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

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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Common Mistakes: Giving the general solution of a trigonometric equation

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Worked Example: The shape, period and range of the cosine curve

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Practice: The effect of a in y equals a sin x

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Explain Back: The effect of b in y equals sin bx on the period

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Spot My Mistake: The effect of c in y equals sin x plus c

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Show All Working: Reading the solutions of a trigonometric equation off a graph

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Worked Example: The midpoint formula applied to a given segment

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Practice: The equation of a line through a point with a given gradient

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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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Common Mistakes: The angle between two lines found from their gradients

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

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Practice: The equation of a circle on a given diameter

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Explain Back: Deciding whether a point lies inside, on or outside a circle

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