Topics

1

Test 1 / 2020TT1 Deferred Sitting #1

« on: October 14, 2020, 04:44:15 PM »

In the last line of a) why do we add pi*m (as opposed to 2pi*m)?

How do we find the values in b) ?

2

Test 1 / 2020 Night Sitting #1

« on: October 14, 2020, 01:03:24 PM »

When I solve the equation w^2+w+1=0, I got two complex roots instead of two real roots. Is there an i missing from the value of w?

3

Test 1 / 2018 test 1 variant C 2b

« on: October 12, 2020, 05:16:22 PM »

How did we get from the second last to last line, in particular the calculation with (2n)! and (2n+2)! (See attachment)

4

Chapter 1 / 1.2 circles

« on: September 23, 2020, 07:27:50 PM »

When we have are asked to find the locus of |z-p|=|z-q|, can we immediately say the perpendicular bisector of the line segment joining p and q, or must we plug in z=x+iy and solve to get x=0?

5

Chapter 1 / Solving roots of complex numbers

« on: September 20, 2020, 07:02:56 PM »

Suppose we want to solve for z=a+ib in an equation of the form z^n=w. After we find z in exponential representation, I am unsure of how to convert to z=a+ib form if theta is not one of the "special angles" we know the sin and cos of? Should we write z=rcos(theta)+i(rsin(theta)) without evaulating sin(theta) and cos(theta)?