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we have   cos (3x) = 0.5  (1) we know that in the interval between [-pi; pi] there are two values that satify the equation cos(y) = 0.5  (2) the two solutions are y=pi/3 and y=-pi/3 in this interval.  Mor...

First of all draw the rectangle, name its sides and annotate its characteristics.
Define the data you have and what you are looking for.
Write down the general formula for the perimeter of a r...

The gradient of a straight line is the number before the x if it is in the form y=mx+c. So for y=6x+2 the gradient is 6. If the y has a factor, like 2y=6x+2, then you have to divide everything by the fact...

We have our function of y = 1+2x-x² The gradient of a stationary (or turning) point is 0, in essence a peak or a trough. In order to determine the gradient, we need to differentiate our ...

FIrst of all we need to understand how cos 30° and tan 60° are found. Let's think of an equilateral triangle, all three angles of the triangle are equal and 60° and each side has length 2. Let's half the ...