IB Mathematics Analysis and Approaches Quiz
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NUMBER AND ALGEBRA
Question 1
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Let
z
=
1
−
cos
(
2
α
)
−
i
sin
(
2
α
)
z = 1 - \cos(2\alpha) - i\sin(2\alpha)
z
=
1
−
cos
(
2
α
)
−
i
sin
(
2
α
)
, for
0
<
α
<
π
/
2
0 < \alpha < \pi/2
0
<
α
<
π
/2
. Find the modulus of
z
z
z
.
A
2
sin
α
2\sin\alpha
2
sin
α
B
2
cos
α
2\cos\alpha
2
cos
α
C
2
sin
(
2
α
)
2\sin(2\alpha)
2
sin
(
2
α
)
D
2
\sqrt{2}
2
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