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Problem
Problem
The number of solutions of the equations
y
=
1
3
[
sin
θ
+
[
sin
θ
+
[
sin
θ
]
]
]
y = \frac{1}{3} [\sin \theta + [\sin \theta + [\sin \theta]]]
y
=
3
1
[
sin
θ
+
[
sin
θ
+
[
sin
θ
]]]
and
[
y
+
[
y
]
]
=
2
cos
θ
[y + [y]] = 2 \cos \theta
[
y
+
[
y
]]
=
2
cos
θ
[where,
[
⋅
]
[\cdot]
[
⋅
]
denotes the greatest integer function] is /are a. 0 b. 1 c. 2 d. infinite
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