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We use the following double angle formulae cos(2x) = cos^2(x) - sin^2 (x) and sin(2x) = 2sin(x)cos(x) to see that 2(sin^2(x)- cos^2(x)) + 6 sin(x) cos(x) = -2-(sin^2(x)+ cos^2(x)) + 3*2 sin(x) cos(x) = -2cos...

The multiple choice section can be really difficult, and although this probably isn’t what you want to hear, it’s often just a case of trusting your gut. Don’t spend too long on the question- whichever one m...

x 2 - 4x -12 is a quadratic equation with a general formula. It can be factorised by into brackets and solved.By looking at the equation, the last term is negative so one number in the factorised form must b...

Sexually volatile, ‘gaudy’ masculinity pervades A Streetcar Named Desire , destroying Blanche and her ‘moth’-like femininity, from beginning to end. When Stella is struck by Stanley, Mitch says: ‘poker shoul...

When using proof by induction we most often prove a statement P for positive integers n. We think about the problem in a domino-toppling fashion. The first step is to write out P(n=1), so inserting 1 for n i...