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Given that 5cos^2(x) - cos(x) = sin^2(x), find the possible values of cos(x) using a suitable quadratic equation.

First, need to get all the terms in the equation to be the same. Using the following identity, it is possible to achieve this: sin 2 (x) + cos 2 (x) = 1 1 - cos 2 (x) = sin 2 (x) Substituting this into the e...
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Answered by Andrew B. • Maths tutor
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How do I plan and structure an essay in an exam?

Writing an essay under exam conditions is daunting, the pressurised environment can sometimes make you forget what you're doing altogether! Here's some tips on planning and structuring an exam essay: It's be...
JI
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How can I get higher grades in my exams?

You have to learn how to analyse language techniques (such as word-choice, metaphor and simile) as effectively as possible and then frame your answers using the key words from the question.
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Answered by Michael O. • English tutor
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Factorise and solve x^2 – 8x + 15 = 0

This equation is of the form ax 2 + bx + c = 0 (where a = 1, b = -8 and c = 15). To help solve it, find two numbers that add to give the value of b (the 'sum') and also when multiplied together give the same...
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Answered by Andrew B. • Maths tutor
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Explain how electricity is conducted through a metal. To gain full marks your answer must include a description of the structure and bonding in a metal.

Metals can be described as a lattice of close-packed positive ions in a sea of delocalised electrons. Because the electrons are delocalised, they can move freely through the metal.
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Answered by Andrew B. • Chemistry tutor
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