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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "A body in a vertical circle, and the tension at the top"

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Explain why Further Maths topics connect to each other

Act as my SS2 Further Maths tutor. Explain to me how the topics I've studied so far, like

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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference

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

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Worked example: find the distance between the points (1,2) and (4,6)

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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)

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Worked example: find the modulus and argument of 3+4i

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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

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Worked example: expand (x+2)^5 fully using the binomial theorem

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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Real-life application of completing the square

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Real-life application of the remainder theorem

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Real-life application of the binomial theorem

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Real-life application of testing the validity of an argument

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Real-life application of the condition for a line to be tangent to a curve

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Give me a 5-minute recap of the quadratic formula

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the quadratic formula

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Give me a 5-minute recap of propositions and compound statements

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