Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
If
cos
3
θ
(
1
−
sin
θ
)
+
sin
3
θ
(
1
+
cos
θ
)
=
1
+
cos
θ
\frac{\cos^3 \theta}{(1 - \sin \theta)} + \frac{\sin^3 \theta}{(1 + \cos \theta)} = 1 + \cos \theta
(
1
−
s
i
n
θ
)
c
o
s
3
θ
+
(
1
+
c
o
s
θ
)
s
i
n
3
θ
=
1
+
cos
θ
…
Problem
If
cos
3
θ
(
1
−
sin
θ
)
+
sin
3
θ
(
1
+
cos
θ
)
=
1
+
cos
θ
\frac{\cos^3 \theta}{(1 - \sin \theta)} + \frac{\sin^3 \theta}{(1 + \cos \theta)} = 1 + \cos \theta
(
1
−
s
i
n
θ
)
c
o
s
3
θ
+
(
1
+
c
o
s
θ
)
s
i
n
3
θ
=
1
+
cos
θ
, then number of possible values of
θ
\theta
θ
is (where
θ
∈
[
0
,
2
π
]
\theta \in [0, 2\pi]
θ
∈
[
0
,
2
π
]
).
Browse the problem library