Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
α
+
β
+
γ
=
2
π
\alpha + \beta + \gamma = 2\pi
α
+
β
+
γ
=
2
π
, then show that
tan
α
2
+
tan
β
2
+
tan
γ
2
=
tan
α
2
tan
β
2
tan
γ
2
\tan \frac{\alpha}{2} + \tan \frac{\beta}{2} + \tan \frac{\gamma}{2} = \tan \frac{\alpha}{2} \tan \frac{\beta}{2} \tan \frac{\gamma}{2}
tan
2
α
+
tan
2
β
+
tan
2
γ
=
tan
2
α
tan
2
β
tan
2
γ
.
Browse the problem library