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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,318 prompts matching "Rationalising and then cancelling a common factor"

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

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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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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Common Mistakes: Giving the general solution of a trigonometric equation

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Worked Example: The shape, period and range of the cosine curve

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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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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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Show All Working: The intersection of a circle and a straight line

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

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Practice: The ellipse in standard form, and its two axes

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WAEC Prep: The hyperbola in standard form, and its asymptotes

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Common Mistakes: Identifying a conic from a general second-degree equation

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

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WAEC Prep: The standard deviation of grouped data using an assumed mean

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Show All Working: The effect on the standard deviation of adding a constant to every value

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

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Worked Example: The sign convention for clockwise and anticlockwise moments

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