1,326 prompts matching "Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360"
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Learn: The sum and the product of the roots read from the coefficients
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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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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Quiz: The factor theorem, and testing whether x minus a is a factor
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Show All Working: Solving a cubic equation by factorisation
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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Learn: The sum of the roots of a cubic read from its coefficients
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Quiz: The product of the roots of a cubic
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Practice: Finding the third root of a cubic when two are known
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Practice: Solving an inequality with the unknown in the denominator
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Spot My Mistake: Showing the solution of an inequality on a number line
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Final Revision: The region of the plane satisfying a set of linear inequalities
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Learn: The meaning of n factorial, and how to evaluate it
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Quiz: The number of arrangements of r objects chosen from n
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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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Explain Back: Choosing a committee with a stated number from each of two groups
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Spot My Mistake: The identity that n choose r equals n choose n minus r
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