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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "Find the equation command word: circle through the origin"

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 logarithmic equation log5(x+3) + log5(2) = 2

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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

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

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Solve the trigonometric equation tan(x) = -1, 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: 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 magnitude of the vector (3,4)

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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: find the unit vector in the direction of (6,8)

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Practice: Working through a quadratic by completing the square, step by step

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Final Revision: A word problem solved with the quadratic formula

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Learn: Making one unknown the subject of the linear equation

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Practice: Finding the matching value of the second unknown

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Spot My Mistake: Finding the values of c for which a line is a tangent

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WAEC Prep: Finding the values of m for which a line cuts a curve twice

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Final Revision: A word problem that uses the remainder theorem

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Spot My Mistake: Finding the remaining roots once one is known

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Quiz: Finding the term in x cubed

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