1,044 prompts matching "Solving a cos x plus b sin x equals c by the R method"
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Common Mistakes: A sign error in the formula, and how to catch it
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Learn: The sum of the roots as minus b over a
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Worked Example: The product of the roots as c over a
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Common Mistakes: Roots that are reciprocals of one another
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Learn: What makes an expression in the roots symmetric
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Explain Back: The value of alpha minus beta, all squared
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Common Mistakes: A symmetric function needing the sum and product twice over
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Learn: Making one unknown the subject of the linear equation
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Worked Example: Substituting into the quadratic and tidying up
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Practice: Finding the matching value of the second unknown
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Explain Back: Writing the answers as ordered pairs
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Learn: Forming the quadratic that decides where a line meets a curve
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Worked Example: The discriminant used as the test for intersection
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Quiz: The condition for two points of intersection
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Practice: The condition for the line to be a tangent
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Explain Back: The condition for the line never to meet the curve
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Spot My Mistake: Finding the values of c for which a line is a tangent
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Worked Example: The degree of a polynomial in one variable
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Quiz: The leading term and the constant term
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