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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,093 prompts matching "When to use permutations versus combinations"

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Final Revision: The region of the plane satisfying a set of linear inequalities

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Worked Example: The number of arrangements of n different objects in a row

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Final Revision: Counting the number plates or codes that can be formed under a rule

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Practice: Choosing a committee that must contain one particular person

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Explain Back: Choosing a committee with a stated number from each of two groups

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

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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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Final Revision: Proving an identity by working on one side only

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Practice: Solving an equation of the form sin of 2x equals a given value

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Explain Back: Solving a quadratic in sin x

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Final Revision: Losing solutions by dividing through by cos x

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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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Final Revision: The graphs of y equals sec x, cosec x and cot x

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

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