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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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971 prompts matching "Raising a complex number to a power by de Moivre's theorem"

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Worked Example: How many roots a cubic equation has

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Show All Working: Solving a cubic that must first be rearranged

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Common Mistakes: A cubic equation arising from a volume problem

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Learn: What makes a sentence a proposition

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Worked Example: Sentences that are not propositions

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Final Revision: A compound proposition built from three simple ones

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Learn: How many rows a truth table needs

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Worked Example: Conjunction in a three-variable truth table

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Show All Working: Reading the final column of a truth table

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Final Revision: The exclusive sense of or, and its truth table

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Learn: The conditional statement, if p then q

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Worked Example: The truth table for the conditional

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Show All Working: Why a conditional and its converse are not equivalent

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Common Mistakes: Writing the converse, inverse and contrapositive of one statement

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Final Revision: A conditional statement set in an everyday situation

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Learn: The biconditional, p if and only if q

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Worked Example: The truth table for the biconditional

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Show All Working: The distributive laws in logic

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Common Mistakes: Simplifying a compound statement using the laws

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Worked Example: What a contradiction is

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