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Graph sketching can look like an intimidating process at times, but is easily broken down into a collection of fairly easy stages.
In summary:
Factoris...
You have to write it in terms of cos(2x) using the double angle formula. The same applies for intergrating cos^2(x), you again have to write it in terms of cos(2x) using the same double angle formula.<...
There are two approaches to rationalising a denominator depending on how the denominator appears.
First we deal with the simpler case where the surd term is the only term...
From the addition formula, we know that:
Rcos(x-c) = Rcos(x)sin(c)+Rsin(x)cos(c)
Therefore:
acos(x)+bsin(x) = Rcos(x)cos(c)+Rsin(x)sin(c)
If we e...
If you were to draw a graph of the function, a stationary point would be a point on the graph where the gradient is zero, i.e the graph has no vertical slope. For example consider the function f(x) = 2. T...
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