Question: It may seem like a stupid question.

It may seem like a stupid question, but why is the first answer not complete, but the second imput is the same as what the book states?

I know you dont need to be able to read Dutch to understand that A = amplitude (amplitude), Omega = Hoekfrequentie (Angular frequency), and Varphi= Fasehoek (phase angle). 

They state that fc(0)= A*e^i*varpi, but it clearly shows that the equation on the left of the equal sign gives a "2" and on the right it gives "2+ 2*i*sqrt3".

Why is this so? It does not make things more easy if you can make "mistakes" like that by just asking the answer, but maple spits out half an answer... 

He thanks a lot guys!

Greetings,

The Function 

p.s.
I scanned my math books, i like it, i can search in the book now with the "ctrl+f" function in Adobe reader. Get a scanner. Mine is a Canon Lide 400. Not regretting it.. :) 
Download Mapleprimes_Book_2_Question_3.6.mw
 

omega := 5

5

(1)

`ϕ` := (1/3)*Pi

(1/3)*Pi

(2)

A := 4

4

(3)

"f(t):=A*cos(omega*t+`ϕ`)""+A*I*sin(omega*t+`ϕ`)"
 

proc (t) options operator, arrow, function_assign; A*cos(omega*t+varphi) end proc

 

(4*I)*sin((1/3)*Pi+5*t)

(4)

f(0)

2

(5)

A*exp(I*`ϕ`)

2+(2*I)*3^(1/2)

(6)

NULL

``

Download Mapleprimes_Book_2_Question_3.6.mw

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