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The cosine rule,

a²=b²+c²-2bccosA,

where a, b, & c are the sides of a triangle and A is the angle opposite side a, is the general version of Pythagoras' ...

Price elasticity of demand (PED) measures the responsiveness of demand in relation to a change in price. The formula for PED is %change in quantity demand / %change in price.

If a good has an elast...

In history essays you need to show that you understand the question you are being asked and that you can illustrate several different interpretations, backing each with evidence. An introduction is needed...

Begin with a diagram of the system, and definition of directions. Vertically up and clockwise rotations are positive. It must be recalled that in SHM force is proportional to displacement from equqilibriu...

The derivative can be found by using the chain rule. i.e. let g(x) = |sin(x)|, so f(x)=ln(g(x)), hence df/dx = df/dg * dg/dx

df/dg = 1/g, dg/dx = |cos(x)| so df/dx = |cos(x)|/|sin(x)|

For th...