1,315 prompts matching "Expanding a bracket with a coefficient on x"
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Common Mistakes: Three roots in geometric progression in a cubic
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Common Mistakes: The range of values of x for which an expression stays positive
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Common Mistakes: Arrangements restricted at the first or the last place
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Worked Example: The difference between a permutation and a combination
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Practice: Choosing a committee that must contain one particular person
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Common Mistakes: Selections in which at least one of a kind must appear
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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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Practice: Solving an equation of the form sin of 2x equals a given value
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Common Mistakes: Giving the general solution of a trigonometric equation
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Explain Back: The effect of b in y equals sin bx on the period
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Show All Working: Reading the solutions of a trigonometric equation off a graph
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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet
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Explain Back: The equation of the line through two given points
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Common Mistakes: The angle between two lines found from their gradients
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Practice: The equation of a circle on a given diameter
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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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