Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "Why the inverse must be applied on the correct side"
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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
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Subscribe to unlock allSolve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
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Subscribe to unlock allSolve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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Subscribe to unlock allWorked 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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Subscribe to unlock allWorked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
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Subscribe to unlock allWorked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Subscribe to unlock allWorked 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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Subscribe to unlock allWorked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio
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Subscribe to unlock allWorked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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Subscribe to unlock allWorked example: solve x^2+4x+13=0 giving the roots as complex numbers
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Subscribe to unlock allWorked example: find the inverse of [[2,1],[5,3]]
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Subscribe to unlock allWorked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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Subscribe to unlock allWorked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Subscribe to unlock allWorked example: find the term in x^3 in the expansion of (2x-1)^6
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Subscribe to unlock allWorked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
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Subscribe to unlock allWorked example: construct the truth table for (p AND q) OR (NOT p)
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Subscribe to unlock allWorked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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