669 prompts matching "Structured question: prove a trigonometric identity"
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Common Mistakes: Roots that are reciprocals of one another
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Final Revision: One root twice the other, and what that gives
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Learn: What makes an expression in the roots symmetric
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Quiz: The value of one over alpha squared plus one over beta squared
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Practice: The value of alpha to the fourth plus beta to the fourth
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Explain Back: The value of alpha minus beta, all squared
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Spot My Mistake: The value of alpha over beta plus beta over alpha
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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one
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Show All Working: Forming an equation whose roots are three alpha and three beta
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Common Mistakes: A symmetric function needing the sum and product twice over
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Final Revision: Using a symmetric function to find an unknown coefficient
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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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Quiz: Solving the quadratic that results from the substitution
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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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Spot My Mistake: A pair with equal roots, meaning one solution only
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WAEC Prep: A pair that gives no real solution at all
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Show All Working: A simultaneous pair in which the second equation is a circle
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Common Mistakes: A word problem giving one linear and one quadratic equation
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