Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Prove that
tan
{
π
4
+
1
2
cos
−
1
a
b
}
+
tan
{
π
4
−
1
2
cos
−
1
a
b
}
=
2
b
a
.
\tan \left\{ \frac{\pi}{4} + \frac{1}{2} \cos^{-1} \frac{a}{b} \right\} + \tan \left\{ \frac{\pi}{4} - \frac{1}{2} \cos^{-1} \frac{a}{b} \right\} = \frac{2b}{a}.
tan
{
4
π
+
2
1
cos
−
1
b
a
}
+
tan
{
4
π
−
2
1
cos
−
1
b
a
}
=
a
2
b
.
Browse the problem library