Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →700 prompts matching "When Cramer's rule is quicker than elimination"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Simplify the surd expression (3+sqrt2)(3-sqrt2)
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Subscribe to unlock allSimplify the surd expression 5/(1+sqrt3)
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Subscribe to unlock allSimplify the surd expression (2+sqrt5)^2
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Subscribe to unlock allSolve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
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Subscribe to unlock allSolve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
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Subscribe to unlock allSolve 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: find the equation of the line through (2,3) and (5,9)
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Subscribe to unlock allWorked example: find the midpoint of the segment joining (-3,5) and (7,-1)
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Subscribe to unlock allWorked example: find the equation of a circle with centre (2,-1) and radius 4
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Subscribe to unlock allWorked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0
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Subscribe to unlock allWorked example: simplify (3+2i) + (1-5i)
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Subscribe to unlock allWorked example: simplify (2+i)(3-4i)
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Subscribe to unlock allWorked example: simplify (4+3i)/(1-2i)
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Subscribe to unlock allWorked example: find the modulus and argument of 3+4i
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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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