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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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Quiz: The number of arrangements of r objects chosen from n

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WAEC Prep: Circular permutations of n objects round a table

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Common Mistakes: Arrangements restricted at the first or the last place

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Final Revision: Counting the number plates or codes that can be formed under a rule

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Quiz: Choosing a committee of r people from n

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Common Mistakes: Selections in which at least one of a kind must appear

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Quiz: The compound angle formula for sine of A plus B

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WAEC Prep: The three forms of the double angle formula for cosine

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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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WAEC Prep: Solving an equation by first applying a double angle formula

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Common Mistakes: Giving the general solution of a trigonometric equation

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Final Revision: Losing solutions by dividing through by cos x

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WAEC Prep: A phase shift in y equals sin of x minus d

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

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Quiz: The gradient of the line through two points

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WAEC Prep: Proving two given lines parallel from their gradients

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

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Final Revision: The perpendicular distance from a point to a line

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WAEC Prep: The length of the tangent from an external point

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

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