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Problem
Problem
Let
p
,
q
∈
N
p, q \in \mathbb{N}
p
,
q
∈
N
and
q
>
p
q > p
q
>
p
, the number of solutions of the equation
q
∣
sin
θ
∣
=
p
∣
cos
θ
∣
q|\sin \theta| = p|\cos \theta|
q
∣
sin
θ
∣
=
p
∣
cos
θ
∣
in the interval
[
0
,
2
π
]
[0, 2\pi]
[
0
,
2
π
]
is
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