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In a question asking us to simplify, we know that our task is to reduce the number of terms presented as far as possible. We should begin inside the brackets by attempting to express both our numbers, 3 a...

None caluclator paper, so you know that the divisions/multiplications will be relatively simple. First thing to do is convert both measurements we have into the same units (in this case millimetres). We s...

The forces should be resolved in two directions: parallel to the plane, and perpendicular to the plane. Friction will act parallel to the plane (up the slope), and the normal force wil act perpendicular t...

sin(60◦) = √3 /2 

tan(60◦) = √3

6sin(60◦) + 5tan(60◦) = 3√3 + 5√3 = 8√3 = √64√3 = √192

First substiute sin(theta) = x (This step is not nesecessary but often people find quadratics easier to solve in variables that they usually use). Then due to the fact that the "b" coefficient i...