Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Precalculus
Convert complex numbers between rectangular and polar form
An irrational number between
5
5
5
and
6
6
6
is
\newline
(a)
1
2
(
5
+
6
)
\frac{1}{2}(5+6)
2
1
(
5
+
6
)
\newline
(b)
5
+
6
\sqrt{5+6}
5
+
6
\newline
(c)
5
×
6
\sqrt{5 \times 6}
5
×
6
\newline
(d) none of these
Get tutor help
Which of the following is equal to
sin
(
π
5
)
\sin \left( \frac{\pi}{5} \right)
sin
(
5
π
)
?
\newline
A)
−
cos
(
π
5
)
-\cos \left( \frac{\pi}{5} \right)
−
cos
(
5
π
)
\newline
B)
−
sin
(
π
5
)
-\sin \left( \frac{\pi}{5} \right)
−
sin
(
5
π
)
\newline
C)
cos
(
3
π
10
)
\cos \left( \frac{3\pi}{10} \right)
cos
(
10
3
π
)
\newline
D)
sin
(
7
π
10
)
\sin\left( \frac{7\pi}{10} \right)
sin
(
10
7
π
)
Get tutor help
Express as a complex number in simplest a+bi form:
\newline
−
19
−
i
10
−
9
i
\frac{-19-i}{10-9 i}
10
−
9
i
−
19
−
i
\newline
Answer:
Get tutor help
Express as a complex number in simplest a+bi form:
\newline
−
9
−
6
i
−
5
+
2
i
\frac{-9-6 i}{-5+2 i}
−
5
+
2
i
−
9
−
6
i
\newline
Answer:
Get tutor help
Express as a complex number in simplest a+bi form:
\newline
4
−
22
i
2
+
4
i
\frac{4-22 i}{2+4 i}
2
+
4
i
4
−
22
i
\newline
Answer:
Get tutor help
Express as a complex number in simplest a+bi form:
\newline
9
−
2
i
−
7
−
3
i
\frac{9-2 i}{-7-3 i}
−
7
−
3
i
9
−
2
i
\newline
Answer:
Get tutor help
Express as a complex number in simplest a+bi form:
\newline
14
−
28
i
1
+
3
i
\frac{14-28 i}{1+3 i}
1
+
3
i
14
−
28
i
\newline
Answer:
Get tutor help
Express as a complex number in simplest a+bi form:
\newline
6
−
6
i
2
−
i
\frac{6-6 i}{2-i}
2
−
i
6
−
6
i
\newline
Answer:
Get tutor help
Express as a complex number in simplest a+bi form:
\newline
22
−
24
i
2
−
7
i
\frac{22-24 i}{2-7 i}
2
−
7
i
22
−
24
i
\newline
Answer:
Get tutor help
Find the inverse
\newline
f
(
x
)
=
2
x
−
7
3
f(x)=\sqrt[3]{2x-7}
f
(
x
)
=
3
2
x
−
7
Get tutor help
Write
3
[
cos
(
π
2
)
+
i
sin
(
π
2
)
]
3\left[\cos \left(\frac{\pi}{2}\right)+i \sin \left(\frac{\pi}{2}\right)\right]
3
[
cos
(
2
π
)
+
i
sin
(
2
π
)
]
in rectangular form.
\newline
Simplify any radicals.
Get tutor help
Convert the polar equation
\newline
r
=
5
2
sin
θ
−
3
cos
θ
r=\frac{5}{2\sin \theta-3\cos \theta}
r
=
2
s
i
n
θ
−
3
c
o
s
θ
5
to rectangular form.
Get tutor help
Convert the equation to polar form. (Use variables
r
r
r
and
θ
\theta
θ
as needed.)
\newline
y
=
6
x
2
y=6x^{2}
y
=
6
x
2
Get tutor help
