1,018 prompts matching "When Lami's theorem may be used, and when it may not"
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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =
Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
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Multi-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Structured question: find coordinates of intersection points
I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th
Show All Working: A quadratic whose two roots are both negative
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who
Practice: Working through a quadratic by completing the square, step by step
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Explain Back: An answer left in surd form after completing the square
I have just studied an answer left in surd form after completing the square in my SS2 Furt
Practice: Giving the roots correct to two decimal places
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Explain Back: Leaving the roots of a quadratic in surd form
I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem
Explain Back: Finding a missing coefficient from a stated sum of roots
I have just studied finding a missing coefficient from a stated sum of roots in my SS2 Fur
Practice: Finding the matching value of the second unknown
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Show All Working: A simultaneous pair in which the second equation is a circle
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a simultaneous
Practice: Polynomial notation such as P of x
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Explain Back: Evaluating P of 2 for a given polynomial
I have just studied evaluating P of 2 for a given polynomial in my SS2 Further Mathematics
Practice: A division that leaves no remainder
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Explain Back: A division that leaves a constant remainder
I have just studied a division that leaves a constant remainder in my SS2 Further Mathemat
Show All Working: Synthetic division as a shorter route
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Practice: The remainder on dividing by 2x minus 1
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Practice: Showing that x plus 3 is a factor of a given polynomial
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