Top answers

Solve, correct to 2 decimal places, the equation cot(2x)=3 for 0°<x<180°

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)° Therfore ...
MG
Answered by Matthew G. • Maths tutor
9813 Views

Solve x^2 = 4(x – 3)^2

Expanding and simplifying the right hand side: x 2 =4(x-3)(x-3)=4(x 2 -6x+9)=4x 2 -24x+36 Deducting 'x 2 ' from both sides: 0=3x 2 -24x+36 Dividing by 3 and factorising: 0=x 2 -8x+12=(x-6)(x-2) Therefore sol...
MG
Answered by Matthew G. • Maths tutor
3494 Views

Factorise the following expression: x^2+12x-45

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)
AH
Answered by Aisha H. • Maths tutor
4028 Views

The increasing role of anglicisms in the German language is a negative development. Discuss.

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. Limit the scope of your essay. ...
IW
Answered by Isabelle W. • German tutor
2737 Views

What are vectors?

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 thi...
EC
Answered by Esperanza C. • Physics tutor
7982 Views