755 prompts matching "The identities for one plus tan squared and one plus cot squared"
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Practice: Collecting similar surds in an expression
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Final Revision: Surds that cannot be combined at all
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Practice: Multiplying a whole number by a surd
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Worked Example: Rationalising a denominator that is a single surd
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Final Revision: Checking a conjugate answer by multiplying back
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Worked Example: Squaring both sides safely when solving a surd equation
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Practice: Solving an equation with a surd on each side
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Practice: A binary operation set out as a table
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Practice: An operation that is not commutative, with a counter-example
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Final Revision: Why brackets matter when an operation is not associative
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Practice: Multiplication distributing over addition in ordinary arithmetic
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Worked Example: Rewriting a negative index as a fraction
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Final Revision: Checking an indicial solution by substitution
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Worked Example: Writing an index statement as a logarithm
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Practice: Evaluating log to base 2 of 8
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Worked Example: Converting a logarithm to base ten so that tables can be used
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Final Revision: Using change of base to prove a stated relation
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Final Revision: Inserting an arithmetic mean between two numbers
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Final Revision: A savings problem modelled by an arithmetic progression
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Final Revision: A word problem that leads to a linear inequality
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