1,332 prompts matching "IGCSE Additional Maths Y10: Solving an equation with an algebraic index — Show A"
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Explain Back: Forming a cubic equation whose three roots are given
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Common Mistakes: The range of values of x for which an expression stays positive
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Worked Example: The number of arrangements of n different objects in a row
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Practice: Arrangements when some of the objects are identical
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Explain Back: Arrangements in which two particular objects must stay together
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Show All Working: Arrangements of the letters of a given word
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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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Explain Back: Choosing a committee with a stated number from each of two groups
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Show All Working: Counting the handshakes, or the lines joining n points
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Worked Example: The identities for one plus tan squared and one plus cot squared
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Practice: The compound angle formula for cosine of A minus B
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Explain Back: The compound angle formula for tan of A plus B
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Show All Working: The half angle formulae and the t-substitution
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Explain Back: Solving a quadratic in sin x
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Worked Example: The shape, period and range of the cosine curve
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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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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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