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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,300 prompts matching "Index laws with an unknown letter base"

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

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

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Practice: Arrangements when some of the objects are identical

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Explain Back: Arrangements in which two particular objects must stay together

I have just studied arrangements in which two particular objects must stay together in my

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Common Mistakes: Arrangements restricted at the first or the last place

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Worked Example: The difference between a permutation and a combination

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

I have just studied choosing a committee with a stated number from each of two groups in m

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Show All Working: Counting the handshakes, or the lines joining n points

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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

I have just studied the compound angle formula for tan of A plus B in my SS3 Further Mathe

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

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

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

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Show All Working: The intersection of a circle and a straight line

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

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

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Explain Back: The eccentricity of an ellipse

I have just studied the eccentricity of an ellipse in my SS3 Further Mathematics class. Le

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