Top answers

Using complex numbers, derive the trigonometric identities for cos(2θ) and sin(2θ).

When dealing with complex numbers and trigonometric functions, always turn to DeMoivre's Theorem that states [cos(θ)+isin(θ)] n = [cos(nθ)+ i sin(nθ)]. If we set n=2, the we see a combination of cos(2θ) and ...
TK
Answered by Thomas K. • Maths tutor
9468 Views

Integrate (x+3)^(1/2) .dx

[whiteboard feature does not seam to be working here] Here we need to make a U sibstitution. So we take (x+3) and make this equal U so we now have the integral of u^1/2 . dx In order to switch to .du and do ...
CZ
Answered by Callum Z. • Maths tutor
5140 Views

How do you form the pluperfect tense?

The pluperfect, much like the passé composé, is a compound tense (i.e. made up of two parts). The first is the auxiliary verb (avoir or être) and the second is the past participle. For this example, I will u...
DF
Answered by Darcy F. • French tutor
3583 Views

‘Henry VII’s financial policies were the most important reason for the success of his rule.’ Assess the validity of this view.

Henry VII is credited with a successful rule due to the way in which England was able to develop; from a financially ruined, isolated, politically divided country after the War of the Roses, to a financially...
MM
Answered by Megan M. • History tutor
41164 Views

How does Charles Dicken’s use language to present the harm of industrialization through description of Coketown in ‘Hard Times’?

Coketown is a fictional industrial city in Charles Dicken’s novel, Hard Times . He wrote it as a protest against industrialization, which he considered harmful to nature and to the human spirit and imaginati...
MP
18732 Views