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Sorry in advance for the lack of a diagram, which would have made this explanation so much clearer. Also, the published version of this seems to ignore Unicode formatting, so I will add underscores (_)...

First, recall that tan(x) can be rewritten in terms of sine and cosine.

tan(x) = sin(x)/cos(x)

The rephrasing of our question suggests that we should try the substitution ru...

We first rearrange the inequality to obtain

4x²-5x+1>0

Initially ...

To plot any graph, you need to find out where the curve cuts the x and y-axis, and where it's stationary points are, aswell as what type of stationary point you have.

Here are the steps:

a) The first part of this question is asking us to find points, (x,y), such that    x = -8. By taking the equation and substituting in x = -8, we should find values, y, such that the points given are (-8,...