1,331 prompts matching "Teach me dividing complex numbers by rationalising with the conjugate"
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Practice: Finding the third root of a cubic when two are known
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Explain Back: Forming a cubic equation whose three roots are given
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Explain Back: Solving an inequality that involves a modulus
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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 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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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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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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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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Practice: The effect of a in y equals a sin x
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Explain Back: The effect of b in y equals sin bx on the period
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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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