The material for this section was covered mostly in the first two and a half weeks of class. The point was to set up a space (Complex Numbers) for our objects (Trig Functions) to play. I. Convert the...

Part 1.-
1. ⃗ ⃗⃗ ⃗ √
a). ⃗
in rectangular co-ordinate
x= 4cos 30 = √
y= 4 sin 30 = 2
⃗ √
b) ⃗⃗
in rectangular co-ordinate
x= 8cos (-70) =
y= 8sin (-70) = -7.52
⃗⃗
c) ⃗ ⃗⃗
in rectangular co-ordinate
x= 4cos 30 +8cos (-70) = 6.2
y= 4sin 30 +8sin (-70) = -5.52
⃗ ⃗⃗
d)
⃗
⃗⃗




x= 0.5cos 100 =
y= 0.5sin 100 = 0.49
⃗
⃗⃗
e) ⃗ √ √
⃗ ⃗ √ √ √
( ⃗ ⃗) ⃗⃗ √ √
in rectangular co-ordinate
x= √ cos (-70) =
y= √ sin (-70) = 21.26
⃗⃗
2.
a)
√ √




√
b)
√



3.
⃗ ⃗⃗









Q 4. Euler’s formula is . As we vary x , we get
cosx and sinx corresponsing to x and y co-ordinate of respective
points on a complex plane . Now as these point co-ordinates have
always relation as between them , hence they
will always lie on a unit circle , hence . will
always represent a circle.
Q . 1 Given


√
, which is not true because sec θ can not be...