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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,326 prompts matching "Finding the remaining roots once one is known"

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Final Revision: Combinations used with the addition and multiplication principles

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Spot My Mistake: The double angle formula for sine

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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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Final Revision: Proving an identity by working on one side only

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Common Mistakes: Giving the general solution of a trigonometric equation

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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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Spot My Mistake: The general form ax plus by plus c equals nought

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

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Spot My Mistake: The equation of the tangent to a circle at a point on it

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

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Final Revision: The equation of the circle through three given points

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Spot My Mistake: The foci of an ellipse

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Final Revision: The focus-directrix definition shared by all the conics

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Spot My Mistake: The standard deviation of an ungrouped set of data

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Common Mistakes: The coefficient of variation, for comparing two sets

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Final Revision: Reading the quartiles off a cumulative frequency curve

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Spot My Mistake: The point at which a loaded beam will tip about its support

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