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Senior Secondary

Further Mathematics

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1,044 prompts matching "Find the equation command word: circle through the origin"

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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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