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Integrating sin^2A and cos^2A is a bit nasty so we can use double angle formula to make it a little simpler. cos2A = cos^2A - sin^2A = 2cos^2A - 1. We can rearrange to get cos^2A in nicer terms. cos^2A = ...

We can rewrite this as (5x - 2y)(5x - 2y). Now all we have to do is expand the brackets. We can do this by multiplying all the terms in the second bracket by all the terms in the first bracket and then su...

We will call sandwiches S and packets of crisps C. These are the 'unknowns'. From the information we can write down two equations. Equation 1: 3S + 2C = 9 and Equation 2: 5S + 6C = 19. We need two equatio...

Firstly, factorise.
(2x + 9) (x - 3) = 0
2x + 9 =0 x-3 = 02x = -9 x = 3 x = -9/2

If d is directly proportional to the square of t, we write this as d= kt² , where k = the proportionality constant which we must find. Substitute in the values given in the question into our e...