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Normal manipulation of inequalities does not affect the direction of the inequality such as: addition subtraction multiplication or division by a positive number, The direction of the inequality will change ...

Reminder - a cartesian equation is written in terms of x and y (e.g. y = 2x + 3) while parametric equations are written with x and y separately in terms of t. Example: Find the cartesian equation of the curv...

Finding stationary points. You can find stationary points on a curve by differentiating the equation of the curve and finding the points at which the gradient function is equal to 0. One way of determining a...

Both the sine and the consine rule applies to any triangle, you do not necessary need a right angle! You can usually use the cosine rule when you are given two sides and the included angle (SAS) or when you ...

Using integration by parts: split xcos(x) into x multiplied by cos(x). Differentiating x gives 1 and integrating cos(x) gives sin(x). The integral of xcos(x) can therefore be rewritten as xsin(x) - integral ...