Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
n
n
n
be an odd integer. In
sin
n
θ
=
∑
r
=
0
n
b
r
sin
r
θ
\sin n\theta = \sum_{r=0}^{n} b_r \sin^r \theta
sin
n
θ
=
∑
r
=
0
n
b
r
sin
r
θ
, for all real
θ
\theta
θ
. Then, find
b
0
b_0
b
0
and
b
1
b_1
b
1
.
Browse the problem library