Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
3
2
+
cos
θ
+
i
sin
θ
=
a
+
i
b
\frac{3}{2 + \cos \theta + i \sin \theta} = a + ib
2
+
c
o
s
θ
+
i
s
i
n
θ
3
=
a
+
ib
, where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
and
a
2
+
b
2
=
λ
a
−
3
a^2 + b^2 = \lambda a - 3
a
2
+
b
2
=
λa
−
3
, the value of
λ
\lambda
λ
is a. 3 b. 4 c. 5 d. 6
Browse the problem library