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Step 1: Rearrange y = arctan(x) as tan(y) = x.

Step 2: Use implicit differentiation to differentiate this with respect to x, which gives us:

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Sin^2(x) cannot be integrated in its current form so you must use trigonometric identities to change sin^2(x) into something else.

Use the formula for cox(2x): cos(2x)=cos(x+x)=cos^2(x)-s...

We start off by drawing attention to the first number in the question, 12. The number can be broken down into multiples by dividing it by the lowest number (that isn't 1): This breakdown is as follows:...

When it comes to simultaneous equations, there are two methods that we can use to solve them. The first method is called substitution, where we make one of the variables the subject in on...

For your maths GCSE it is important that you understand the three main methods of solving quadtratics: factorisation, completing the square, and using the quadratic formula.

1. Fa...