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Edexcel C3 June 2015 Q1: tan(x)=p, where p is a constant. Using standard trigonometric identities, find the following in terms of p. a) tan(2x). b) cos(x). c) cot(x-45).

a) tan(A+B)=(tanA+tanB)/(1-tanAtanB) So, tan(2x)=[tan(x)+tan(x)]/[1-(tanx)(tanx)]. Therefore, tan(2x)=[2tan(x)]/[1-tan^2(x)] = 2p/(1-p^2). b) cos(x)=1/sec(x). Using other trigonometric identities, we know th...
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Answered by Liam R. • Maths tutor
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How is Lady Macbeth presented in Shakespeare's Macbeth?

Whilst Shakespeare's 'Macbeth' may indicate that it is Macbeth himself that is the central protagonist, Lady Macbeth is instead the one who captures the audience's attention. This is because Lady Macbeth def...
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Answered by Tania A. • English tutor
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How do I know which interrogative adjective to use?

To know which interrogative adjective to use, you need to figure out what is being talked about. This is because we've got 4 different words. In essence, all of these words mean 'which'. Which shoes? Which f...
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Answered by Alice J. • French tutor
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Outline Freud's tripartite psychodynamic model of the psyche.

Freud's basic tripartite psychodynamic model of the psyche with the Id contains unconscious libido and aggressive drives as well as conscious Ego and Superego faculties. Although having, prima facie, a very ...
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Answered by Samuel C. • Philosophy tutor
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Summarise the Metaethical Taxonomy of Ethical Naturalism.

Ethical naturalism is a realist cognitivist doctrine that states that moral judgements are declarative propositions that inform us about mind independent and meaningful information in the world which can be ...
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Answered by Samuel C. • Philosophy tutor
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