1,045 prompts matching "The three forms of the double angle formula for cosine"
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Worked Example: How many roots a cubic equation has
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Practice: A cubic with one real root and two complex ones
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Show All Working: Solving a cubic that must first be rearranged
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Common Mistakes: A cubic equation arising from a volume problem
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Worked Example: Sentences that are not propositions
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Show All Working: Translating an English sentence into logical symbols
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Common Mistakes: Translating a symbolic statement back into English
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Practice: Negation combined with a compound statement
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Spot My Mistake: Building a truth table column by column
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Quiz: Why a conditional with a false antecedent counts as true
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Show All Working: Why a conditional and its converse are not equivalent
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Practice: What logical equivalence means
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Spot My Mistake: De Morgan's laws in logic
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Worked Example: What a contradiction is
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Quiz: What a contingency is
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Practice: Showing that a statement is a tautology
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Common Mistakes: Deciding between tautology, contradiction and contingency
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Worked Example: Premises and conclusion
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Quiz: Modus ponens
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Practice: Modus tollens
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