Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
The base of a triangle is divided into three equal parts. If
θ
1
,
θ
2
,
θ
3
\theta_1, \theta_2, \theta_3
θ
1
,
θ
2
,
θ
3
be the angles subtended by these parts at the vertex, then prove that
(
cot
θ
1
+
cot
θ
2
)
(
cot
θ
2
+
cot
θ
3
)
=
4
csc
2
θ
2
(\cot \theta_1 + \cot \theta_2)(\cot \theta_2 + \cot \theta_3) = 4 \csc^2 \theta_2
(
cot
θ
1
+
cot
θ
2
)
(
cot
θ
2
+
cot
θ
3
)
=
4
csc
2
θ
2
Browse the problem library