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Senior Secondary

Further Mathematics

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1,242 prompts matching "Using change of base to prove a stated relation"

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Practice: Finding the third root of a cubic when two are known

Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding the th

Spot My Mistake: The relations between roots and coefficients for a quartic

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Quiz: Solving a quadratic inequality using a sign table

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Spot My Mistake: Showing the solution of an inequality on a number line

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Final Revision: The region of the plane satisfying a set of linear inequalities

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Worked Example: The number of arrangements of n different objects in a row

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Quiz: The number of arrangements of r objects chosen from n

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Practice: Arrangements when some of the objects are identical

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Quiz: Choosing a committee of r people from n

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Quiz: The compound angle formula for sine of A plus B

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Practice: The compound angle formula for cosine of A minus B

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Explain Back: The compound angle formula for tan of A plus B

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Quiz: Solving tan x equals a given value, and the period of the tangent

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Practice: Solving an equation of the form sin of 2x equals a given value

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Learn: The shape, period and range of the sine curve

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Worked Example: The shape, period and range of the cosine curve

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Practice: The effect of a in y equals a sin x

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Explain Back: The effect of b in y equals sin bx on the period

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Spot My Mistake: The effect of c in y equals sin x plus c

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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