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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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622 prompts matching "checking each line of a trigonometric identity proof"

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Final Revision: Checking a conjugate answer by multiplying back

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WAEC Prep: Equating the rational and the irrational parts of an equation

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Common Mistakes: Checking an inverse by working the operation both ways

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Final Revision: Identity and inverse together, and what they give the set

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Worked Example: The law for multiplying powers of the same base

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Final Revision: Checking an indicial solution by substitution

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Learn: The definition of a logarithm as the index

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WAEC Prep: Why the logarithm of a negative number does not exist

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Learn: The law for the logarithm of a product

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Worked Example: The law for the logarithm of a quotient

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Final Revision: Proving a logarithmic identity from the laws

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Learn: The change of base formula

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WAEC Prep: Solving an exponential equation by taking logarithms of both sides

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Worked Example: Writing out the terms of a sequence from its nth term

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Show All Working: Deciding whether a given number is a term of a sequence

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Worked Example: Finding the common difference of an arithmetic progression

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Learn: The formula for the sum of the first n terms of an arithmetic progression

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WAEC Prep: A word problem about seats in the rows of a hall

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Show All Working: The sum of the terms lying between two given positions

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