1,334 prompts matching "Learn: Why a surd is never left in the denominator"
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Practice: Finding the third root of a cubic when two are known
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Spot My Mistake: The relations between roots and coefficients for a quartic
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Practice: Solving an inequality with the unknown in the denominator
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Worked Example: The number of arrangements of n different objects in a row
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Spot My Mistake: Arrangements in which two particular objects must be kept apart
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Worked Example: The difference between a permutation and a combination
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Practice: The compound angle formula for cosine of A minus B
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Final Revision: Proving an identity by working on one side only
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Practice: Solving an equation of the form sin of 2x equals a given value
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Spot My Mistake: Solving an equation by first applying a Pythagorean identity
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Final Revision: Losing solutions by dividing through by cos x
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Worked Example: The shape, period and range of the cosine curve
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Practice: The effect of a in y equals a sin x
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Worked Example: The midpoint formula applied to a given segment
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Practice: The equation of a line through a point with a given gradient
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Spot My Mistake: The general form ax plus by plus c equals nought
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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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Spot My Mistake: The foci of an ellipse
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