188 prompts matching "Prove that (1-cos^2x)/sinx = sinx"
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Multi-part algebraic manipulation exam question
I am in SS 1. I attempted an Additional Maths question on a Cambridge/Additional Maths sty
Simplifying expressions with like and unlike terms
I am in SS 1. Teach me correctly identifying and collecting like terms in a longer algebra
Cross-multiplying to solve an equation with fractions
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Show All Working: Classifying a mixed list of numbers as rational or irrational
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Common Mistakes: Why a rational number added to an irrational one stays irrational
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Show All Working: Deciding whether two given surds are equal without a calculator
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Common Mistakes: Expressing root 50 as a multiple of root 2
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Common Mistakes: Expanding the product of two surd brackets
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Show All Working: Checking a rationalised answer by decimal approximation
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Common Mistakes: Rationalising a denominator of the form root a over root b
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Show All Working: A conjugate where the surd term comes first
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Common Mistakes: Rationalising when both terms of the denominator are surds
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Show All Working: Finding a and b when a plus b root 2 equals a given surd
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Show All Working: Evaluating a repeated operation such as a*(b*c)
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Show All Working: Showing a set is not closed by a single counter-example
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Common Mistakes: Closure on a set of three elements under a stated rule
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Common Mistakes: Subtraction as an example of neither law
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Show All Working: Using distributivity to simplify an expression
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Common Mistakes: Distributivity on a set of three elements
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Show All Working: An element with no inverse under a given operation
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