Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
f
f
and
g
g
g
be function defined by
f
(
θ
)
=
cos
2
θ
f(\theta) = \cos^2 \theta
f
(
θ
)
=
cos
2
θ
and
g
(
θ
)
=
tan
2
θ
g(\theta) = \tan^2 \theta
g
(
θ
)
=
tan
2
θ
, suppose
α
\alpha
α
and
β
\beta
β
satisfy
2
f
(
α
)
−
g
(
β
)
=
1
2f(\alpha) - g(\beta) = 1
2
f
(
α
)
−
g
(
β
)
=
1
, then value of
2
f
(
β
)
−
g
(
α
)
2f(\beta) - g(\alpha)
2
f
(
β
)
−
g
(
α
)
is
Browse the problem library