write the following number in polar form
3+4i
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Answer:
Step-by-step explanation:
Let
z
=
a
+
i
b
a complex number
The polar form is
z
=(
cos
θ
+
i
sin
θ
)
r
=
√
a
2
+
b
2
Here, we have
z
=
−
3
+
4
i
∴
r
=
√
9
+
16
=
√
25
=
5
z
=
5
(
−3
5
+
4
i
5
)
∴
cos
θ
=
−
3
5 and sinθ
=4
5
So,
θ is in the second quadrant
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