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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,235 prompts matching "A tautology used to justify a rule of algebra"

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Practice: Finding the third root of a cubic when two are known

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Spot My Mistake: Showing the solution of an inequality on a number line

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

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Quiz: The number of arrangements of r objects chosen from n

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Practice: Arrangements when some of the objects are identical

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Quiz: Choosing a committee of r people from n

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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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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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Quiz: Solving tan x equals a given value, and the period of the tangent

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

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Learn: The shape, period and range of the sine 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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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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

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Worked Example: The midpoint formula applied to a given segment

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Quiz: The gradient of the line through two points

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