233 prompts matching "Prove that tanx + 1/tanx = 1/(sinx cosx)"
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Common Mistakes: Writing down the roots once the brackets are found
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Show All Working: Completing the square with a fractional coefficient of x
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Common Mistakes: Checking a completed square by expanding it again
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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Show All Working: Roots equal in magnitude but opposite in sign
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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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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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Show All Working: The point of contact when a line touches a curve
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Show All Working: Adding and subtracting two polynomials
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Common Mistakes: Multiplying one polynomial by another
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Show All Working: Synthetic division as a shorter route
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Common Mistakes: The degree of the quotient and of the remainder
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Show All Working: A remainder of nought, and what it means
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Common Mistakes: The remainder theorem applied to a quartic
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Show All Working: What the factor theorem says about the roots
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Common Mistakes: Using the factor theorem before dividing
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