The mathematical solution initially explains how to find the maximum and minimum values of f(x) = 5sin x + 2cos x and how to find, in radians to 2 decimal places, the smallest positive values of x at which they occur. f(x) is written in the form Rcos(x + α). Explanation is then given as to how the maximum and...

The mathematical solution explains how to use the identity sin2x + cos2x≡ 1 to form a quadratic equation which can then be solved in a given range. The method of 'splitting the middle term' is used in order to help factorise the resulting quadratic in sin2x. The two resulting equations are then considered...

Produced by Rolls-Royce, this entertaining video clip takes the form of an animated rap which describes a range of career opportunities open to students with skills in science, technology, engineering or mathematics (STEM). It makes a good...

This video, written and presented by Matt Parker and Timandra Harkness, considers the statistics of death. The only certainty is that everyone will die, but it is not known how or when this will happen. Based upon statistics, the odds of dying in particular ways are calculated and interpreted. The Normal...