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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...

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 ...

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? Whic...

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 ve...

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 ...