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Write down the formulas involving cos2x and select the one which involves only cosine, this is because cosine (or derivations of it) is the only trigonometric function in this question. Substitute the cho...

When you factorise an equation, the final form should look like this: (x+a)(a+b)=0 in order to work out the possible value(s) for x. As a result, working backwards, we expand the already factorised final ...

Firstly we should add log to both sides of the equation, knowing that modifying one side can be balanced by doing the exact same thing on the other side. On the right hand side, using logarithmic identiti...

Pythagorus Theorem states that the side of a 'Right Angled Triangle' can be found by using the formulae c² = a² + b² , where c is considered as hypotenuse. In our case the...

Using the method of binomial expansion (which I will cover in more detail) we get

(2x-3y)^4 = + 1(2x)^4(3y)^0  -  4(2x)^3(3y)^1  +  6(2x)^2(3y)^2  -  4(2x)^1(3y)^3  +  1(2x)^0(3y)^4  =

= 16x...