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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 "Changing the subject with a square or square root"

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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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Show All Working: Solving a cos x plus b sin x equals c by the R method

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

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Show All Working: Reading the solutions of a trigonometric equation off a graph

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Worked Example: The midpoint formula applied to a given segment

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

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Explain Back: Deciding whether a point lies inside, on or outside a circle

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

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

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

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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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Explain Back: Finding the reaction at each support of a loaded beam

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Common Mistakes: The centre of gravity of a uniform lamina

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Worked Example: Relative velocity when two bodies move along the same line

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

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