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Write the complex number Z=1/2+sqrt(3)/2j both as a function involving cos & sin, and as a function involving an exponential.

|Z| = sqrt(1/2^2 + (sqrt(3)/2)^2) = 1 arg(Z) = arctan((sqrt(3)/2)/(1/2)) = pi/3 Z = cos(pi/3) + jsin(pi/3) Z = e^j(pi/3) Apologies for the use of sqrt(), I have no way yet of using the symbol on my laptop
SR
Answered by Sol R. • Maths tutor
4743 Views

Let f(x) = 5x^4 + 6x^3 + 3, find dy/dx at x = 3

First we must differentiate the equation with respect to x. To differentiate you must multiply the coefficient (number in front) by the power of x, then subtract 1 from the power. So here we find dy/dx = (5 ...
FK
Answered by Francesca K. • Maths tutor
4113 Views

Why should I think about alternative meanings when analysing a word/phrase?

Being able to think about an alternative meaning for a particular word or phrase when analysing a text is a skill that will allow for a student to reach a higher band, as it displays perceptive thinking and ...
AB
4162 Views

I'm having trouble differentiating between "wenn" and "als". How do I use them correctly?

I understand this is a common issue amongst English native speakers since we would normally translate both as "when". But don't worry, they are actually quite easy to differentiate and once you'll ...
TT
Answered by Timea T. • German tutor
2173 Views

State three differences between DNA and mRNA molecules

DNA contains the base Thymine, whereas mRNA contains Uracil DNA is double stranded whereas RNA is single stranded DNA contains deoxyribose sugar, whereas mRNA contains ribose sugar DNA is long whereas mRNA s...
CB
Answered by Charlotte B. • Biology tutor
7331 Views