For polar form you need to find the modulus (length of the vector) and the argument (angle of the vector) and present in form rcis(Arg) or re^Argi
start with the modulus r=sqrt(a^2 +b^2)
=sqrt(-2^2 +2^2)
= sqrt(4+4)
=sqrt(8)
=2sqrt(2)
next the argument, firstly arg=tan(b/a)
= tan(2/2)
=tan(1)
=pi/4 . (exact values table)
Now consider the quadrant the complex number is in, as it is (-2,2) it is in the second quadrant and as such your Arg value is:
Arg=pi-arg
= pi-pi/4
= 3pi/4
add it all together and your complex number in polar form is:
2sqrt2cis(3pi/4)
note: cis is short hand for cos(x)+isin(x), it is possible your tutor would rather you use the complex exponential form which is simply re^Argi and your answer would look like:
2sqrt2e^(3pi/4)i
Also notice the difference between arg and Arg as this often slips students up and always present Arg in prinicple argument form ie -pi<Arg<pi
Hopefully this has been clear enough and good luck
Answer
Step-by-step explanation:
There were actually gaps of triangles in between the slabs and the sphere.
This could cause a decrease inthe volumes. The 2d shape is a triangle but the 3d shape is the cone.
49% of 598 = 598*49/100 = 293.02
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Step-by-step explanation:
I have two step
step 1
32+b=54
32+9=54
41=54
you divide both side by 41 and the answer is 1 and 1
step two
32+b=54
b=54-32
9=22
you divide both side by 9 and the answer is 2,44
