1,324 prompts matching "determine whether the argument 'if p then q; p; therefore q' is valid using a tr"
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Learn: Finding alpha squared plus beta squared from the sum and product
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Practice: Finding alpha minus beta from the sum and the product
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Learn: The degree of a polynomial and its leading coefficient
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Learn: The sum of the roots of a cubic read from its coefficients
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Practice: Finding the third root of a cubic when two are known
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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative
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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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Learn: The meaning of n factorial, and how to evaluate it
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Practice: Arrangements when some of the objects are identical
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Learn: The meaning of n choose r, and how to evaluate it
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Learn: The Pythagorean identity, sin squared plus cos squared equals one
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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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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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Final Revision: Losing solutions by dividing through by cos x
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Learn: The shape, period and range of the sine curve
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Worked Example: The shape, period and range of the cosine curve
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