Calculate the modulus and argument of each:
a. 1 + i
b. √3 + i
c. -2i
d. -5
e. -5 + 5i
f. 7√2 + 7i
g. -3 -4i
for any complex number a + bi
the modulus is |√(a^2 + b^2) | and the argument is the angle Ø such that tanØ = b/a
I will do the 2nd, you do the rest
√3 + i or
√3 + 1i or
(√3,1) in the Argand plane
the modulus is √(3+1) = 2
tanØ = 1/√3
Ø = 30° or π/6 radians
for c) , treat -2i as 0 - 2i
for the rest make sure you pick the angle in the correct quadrant,
e.g. -3-4i , you are in quad III
so even though tanØ = -4/-3 = + 4/3
Ø = 180° + 53.13° = 233.13°