Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
If
m
tan
(
α
−
θ
)
cos
2
θ
=
n
tan
θ
cos
2
(
α
−
θ
)
\frac{m \tan(\alpha - \theta)}{\cos^2 \theta} = \frac{n \tan \theta}{\cos^2(\alpha - \theta)}
c
o
s
2
θ
m
t
a
n
(
α
−
θ
)
=
c
o
s
2
(
α
−
θ
)
n
t
a
n
θ
…
Problem
If
m
tan
(
α
−
θ
)
cos
2
θ
=
n
tan
θ
cos
2
(
α
−
θ
)
\frac{m \tan(\alpha - \theta)}{\cos^2 \theta} = \frac{n \tan \theta}{\cos^2(\alpha - \theta)}
c
o
s
2
θ
m
t
a
n
(
α
−
θ
)
=
c
o
s
2
(
α
−
θ
)
n
t
a
n
θ
Prove that :
θ
=
1
2
[
α
−
tan
−
1
(
n
−
m
n
+
m
tan
α
)
]
\theta = \frac{1}{2} \left[ \alpha - \tan^{-1} \left( \frac{n-m}{n+m} \tan \alpha \right) \right]
θ
=
2
1
[
α
−
tan
−
1
(
n
+
m
n
−
m
tan
α
)
]
Browse the problem library