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The key here is to realise that tanx = sinx/cosx. If we write out the left hand side of the equation in terms of sine and cosine we get: cosx/sinx + sinx/cosx These two fractions can be put over a common ...

Factorising a quadratic polynomial of the form,

ax² + bx + c = 0

can be done in many depends depending on the values we have for a, b and c. 

Some s...

To solve this quadratic equation we should first see if it is possible to factorise it into two seperate brakets. In this case there are no numbers which multiply to give -5 and add to give 3. Thus we ...

This is a typical exam question which some students may find confusing.The trick to this question is realising that you have to rationalise the denominator. (Topic: Surds)4/(2-√2) = 4/(2-√2) x (2+√2)/(2+√...

the aim of finsing the inverse is making x the subject. To start we need to multiply both sides by: (2x+3), giving us:

y(2x+3) = 5x-4

now we need to expand the brackets: