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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "An answer left in surd form after completing the square"

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

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Learn: Solving sin x equals a given value between 0 and 360 degrees

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

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Learn: The shape, period and range of the sine curve

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

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Final Revision: The graphs of y equals sec x, cosec x and cot x

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Learn: The distance between two points

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

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Worked Example: The interquartile range of a set of ordered data

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Learn: The moment of a force about a point, and its units

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Final Revision: A ladder leaning against a wall, and the moments acting on it

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Practice: The triangle of velocities for a boat crossing a river

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Final Revision: Interception, where one body must catch another

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Practice: A particle on a smooth table connected to a hanging particle

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Final Revision: The distance connected particles travel before one reaches the floor

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Learn: Resolving the weight along and perpendicular to an inclined plane

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Common Mistakes: The work done against friction on an incline

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Final Revision: The speed of a body when it reaches the foot of an incline

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