Here is a tricky A-level maths question in which you are asked to prove that
tan 50 = tan 40 +2tan 10
Try it first and can you comment on the difficulty. Thanks.
In this video I show you how to find the area of a segment when the angle is given in degrees or radians. I assume that you are familiar with finding the area of a triangle given two sides and the included angle.
Algebraic long division can be useful in factorising polynomials. In the first video tutorial you are introduced to a numeric example to get you used to the method and then I do the same again on an algebraic one so that you can hopefully see the similarity and grasp the concept with ease.
I find that this is not one of the easiest tasks for students to get to grips with and so this video is aimed at showing how a force can be split into two components at right angles. It then aims to show that the one that includes the angle uses cos and the one that excludes the angle is sin so as to help make solutions quicker in force diagrams.
When finding the area of a segment you will often need to find the area of a triangle given two sides and an included angle when the angle is given in degrees or radians. This tutorial shows you how.
In this tutorial you are shown how to calculate the mean and standard deviation from a normal distribution using the following example.
A high jumper knows from experience that she can clear a height of at least 1.78m once in 5 attempts. She also knows that she can clear a height of at least 1.65m on 7 out of 10 attempts.
Find to 3 dp the mean and standard deviation of the heights the jumper can reach
A cuboid has a volume of 8m3. The base of the cuboid is square with sides of length x metres. The
surface area of the cuboid is Am2.
(i) Show that A = 2x^2 +32/x
(ii) Find
dA/dx
(iii) Find the value of x which gives the smallest surface area of the cuboid, justifying your answer.