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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
9208 Views

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...
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13588 Views

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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Identify the dehydration product or products of a) ethanol, b) button-2-ol

Dehydration is a process in which an alcohol loses a molecule of water and leaves behind an alkene. The OH group is removed along with an H from any adjacent carbon atom. To work out the answer, firstly draw...
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Answered by Andrew B. • Chemistry tutor
5689 Views

What is an easy way to include the subjunctive?

Two of my favourite ways to get the subjunctive into an oral exam or an essay: 1. "Qué yo sepa..." This means "as far as I know" and the structure itself includes the subjunctive. Just ad...
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Answered by Emily F. • Spanish tutor
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