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In maths when we are asked to re express something we really only have 2 tricks. Multiply by 1, or add Zero. The hard part is finding how to express 1 or zero to suit the problem. For this one we should m...

Don’t panic! Breathe… Don’t let yourself get swept up in a wave of panic and don’t let yourself be consumed by negative thoughts: “I haven’t revised this, I’m going to fail”. Take a (mental) step back, ta...

You must carefully draw a diagram. The key to this question is to find from what perspective you should view it. The easiest way is to see that B wants to accelerate due to the weight of C. This is unaffe...

Noticing that tan(5x) = tan(3x+2x) we use the tan compound angle formula to find tan(5x) = (tan(2x)+tan(3x))/(1-tan(2x)tan(3x)) and thus tan(5x)tan(3x)tan(2x) = tan(5x)-tan(3x)-tan(2x). From then we can i...

A Tierce de Picarie ('Picardy Third') is a surprise major chord at the end of a piece. Whilst the piece is predominantly in a minor mode, the final chord (which will always be the tonic in music of this ...