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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,043 prompts matching "The double angle formula for sine"

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

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Worked example: construct the truth table for (p AND q) OR (NOT p)

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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Real-life application of the condition for a line to be tangent to a curve

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Express in the form command word: completing the square

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Explain Back: An answer left in surd form after completing the square

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Explain Back: Leaving the roots of a quadratic in surd form

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Learn: Forming the quadratic that decides where a line meets a curve

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Worked Example: The discriminant used as the test for intersection

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Quiz: The condition for two points of intersection

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Practice: The condition for the line to be a tangent

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Explain Back: The condition for the line never to meet the curve

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Spot My Mistake: Finding the values of c for which a line is a tangent

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WAEC Prep: Finding the values of m for which a line cuts a curve twice

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Worked Example: The division algorithm for polynomials

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WAEC Prep: Dividing by a factor of the form ax plus b

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WAEC Prep: The factor theorem for a factor of the form ax plus b

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Common Mistakes: Using the factor theorem before dividing

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