Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
a
a
a
is real constant and
A
,
B
A, B
A
,
B
and
C
C
C
are variable angles and
a
2
−
4
tan
A
+
a
tan
B
+
a
2
+
4
tan
C
=
6
a
\sqrt{a^2 - 4} \tan A + a \tan B + \sqrt{a^2 + 4} \tan C = 6a
a
2
−
4
tan
A
+
a
tan
B
+
a
2
+
4
tan
C
=
6
a
, then find the least value of
tan
2
A
+
tan
2
B
+
tan
2
C
\tan^2 A + \tan^2 B + \tan^2 C
tan
2
A
+
tan
2
B
+
tan
2
C
.
Browse the problem library