Search over 10,000 free study notes

To start, we use the inverse trigonometric formulae to convert the 'cot' function into a 'tan' function: cot(2x)=1/(tan(2x))=3 Inverting this gives: tan(2x)=1/3 2x=arctan(1/3)=18.43°or (180+18.43)° Therfo...

Expanding and simplifying the right hand side: x²=4(x-3)(x-3)=4(x²-6x+9)=4x²-24x+36 Deducting 'x²' from both sides: 0=3x²-24x+36 Dividing by 3 and fa...

x^2+12x-45

x^2+15x-3x-45 (15x - 3x= 12x and 15 x -3=-45)

x(x+15)-3(x+15)

(x-3)(x+15) 

1. Look at the wording of the question. Is it a development at all? Look at the historic background of anglicisms in the German language; has their role increased over the years.

2. ...

Vectors can seem complicated at first but they are simple once you understand that you need two pieces of information in order to define a vector. A vector is composed of direction and magnitude. You can ...