Most of the bloody questions for hw i get states that I have to answer my questions in terms of pi & I don't know pi's significance to the argand diagram!!! Can someone please explain?? :ccc
Most of the bloody questions for hw i get states that I have to answer my questions in terms of pi & I don't know pi's significance to the argand diagram!!! Can someone please explain?? :ccc
Have you covered radians at all in maths? A decent chunk of maths at A Level works in radians rather than degrees, which is where the pi stuff comes from. Have you covered how to calculate the argument of a complex number?
Have you covered radians at all in maths? A decent chunk of maths at A Level works in radians rather than degrees, which is where the pi stuff comes from. Have you covered how to calculate the argument of a complex number?
yeah I know how to calculate the argument which is tan= y/x right?
but idk about the radians stuff , do you know where the pi stuff comes from?
The angle between that vector and the positive x-axis is defined as the argument. Going anticlockwise (positive y quadrants) goes from 0to pi and going clockwise (negative y quadrants) goes from 0 to -pi.
yeah I know how to calculate the argument which is tan= y/x right?
but idk about the radians stuff , do you know where the pi stuff comes from?
The radian is defined as the angle subtended by an arc of length r on a circle of radius r. 2pi radians=360 degrees, as a result. A degree is a slightly nebulous term, so using radians is 'neater' for the purposes of doing maths (as I understand it)
using radians is 'neater' for the purposes of doing maths (as I understand it)
Kind of. Radians are the only measure of angle in which dxdsinx=cosx is true, which I suppose does make them 'neater' as opposed to dxdsinx∘=2π180cosx∘.
The angle between that vector and the positive x-axis is defined as the argument. Going anticlockwise (positive y quadrants) goes from 0to pi and going clockwise (negative y quadrants) goes from 0 to -pi.
so could you treat pi as 180 degrees? are they equivalent?
Most of the bloody questions for hw i get states that I have to answer my questions in terms of pi & I don't know pi's significance to the argand diagram!!! Can someone please explain?? :ccc
See comment above You can then use a right angled triangle to work out the angle
so could you treat pi as 180 degrees? are they equivalent?
They represent the same thing yes but in pure maths we use radians because they are more useful as pi is an irrational number that is defined in a few ways but it's directly intertwined with how circles work. You'll have to get used to radians sooner or later although I can see why you might be confused because you normally go over radians first in core 2.
They represent the same thing yes but in pure maths we use radians because they are more useful as pi is an irrational number that is defined in a few ways but it's directly intertwined with how circles work. You'll have to get used to radians sooner or later although I can see why you might be confused because you normally go over radians first in core 2.