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Senior Secondary

Further Mathematics

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1,045 prompts matching "A particle hanging in equilibrium on an elastic string"

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

Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0

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

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

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Worked example: how many ways can 5 books be arranged on a shelf

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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Worked example: in how many ways can 6 people be seated around a circular table

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Worked example: construct the truth table for (p AND q) OR (NOT p)

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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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 combinations

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Real-life application of probability using combinatorics

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Real-life application of the binomial theorem

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Real-life application of indices

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Real-life application of coordinate geometry

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Real-life application of sequences and series

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Real-life application of sum and product of roots

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