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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
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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
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‘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
41447 Views

How can I analyse a work of art for my Visual Analysis and Interpretation Test? (Gentleschi 'Susannah and the Elders')

Firstly, identify who the work is by, the date it was made, and the materials used to make it. For example, Artemisia Gentileschi, Susannah and the Elders, 1610, oil on canvas. Now, it is important to identi...
AG
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Describe how the sequence of bases in a DNA molecule would be used to form the primary structure of a protein.

The sequences of bases in a DNA molecule will determine the amino acid sequence in the protein that it encodes for. The bases are arranged in triplets where one triplet will encode for one amino acid in a no...
MM
Answered by Madeleine M. • Biology tutor
21928 Views