Search over 10,000 free study notes

We must first use trigonometric identities to simplify cos²(x). We can use the formula cos(A+B) = cos(A)cos(B) - sin(A)sin(B) , where A=x and B=x, so that we ...

First we find the y coordinate which is a function of x:

x = 2+ h so  y = (2 - 2 - h)(1 + 2 + h) + 3 = -h² - 3h + 3

Now for the gradient, the line passes through points (2,3) and ...

4x - 6 < 2x + 5 is an inequality. It means "4x - 6 is smaller than 2x + 5". An inequality can be solved just like an equation: whatever you do to one side, you also do to the other. Firstly, ...

The hypotenuse is the easiest to spot - it's always the longest side, and it's across from the right angle in the triangle. This leaves two others: the adjacent side is the side that is next to the acute ...

Consider the function as 1(ln(x)) and then use integrating by parts, where you would differentiate the ln(x) part.