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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "The truth table for a statement with two connectives"

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Explain Back: The range of values of k for which the roots are real

I have just studied the range of values of k for which the roots are real in my SS3 Furthe

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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

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

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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

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

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Worked Example: The midpoint formula applied to a given segment

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Explain Back: The equation of the line through two given points

I have just studied the equation of the line through two given points in my SS3 Further Ma

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Show All Working: Proving two given lines perpendicular from their gradients

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

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Worked Example: The equation of a circle with a given centre and radius

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

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Worked Example: The parametric form of a point on a parabola

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Common Mistakes: The centre of gravity of a uniform lamina

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