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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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269 prompts matching "Prove that (1-cos^2x)/sinx = sinx"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

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) =

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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7

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Worked example: differentiate y = (2x-1)(x+3) after expanding it first

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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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Worked example: find the term in x^3 in the expansion of (2x-1)^6

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Show that command word: quadratic factorisation

I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma

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Spot My Mistake: Solving a quadratic that must be rearranged before factorising

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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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Quiz: Solving the quadratic that results from the substitution

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WAEC Prep: A pair that gives no real solution at all

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Learn: Forming the quadratic that decides where a line meets a curve

You are my personal SS2 Further Mathematics tutor. Teach me forming the quadratic that dec

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WAEC Prep: Expressions that are not polynomials, and why not

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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

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Spot My Mistake: A division that leaves a linear remainder

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Practice: The remainder on dividing by 2x minus 1

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Final Revision: A word problem that uses the remainder theorem

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Practice: Showing that x plus 3 is a factor of a given polynomial

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Explain Back: Finding a coefficient so that a stated expression is a factor

I have just studied finding a coefficient so that a stated expression is a factor in my SS

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