Cardioid:
π
=
1
β
sin
β‘
(
π
)
r=1βsin(ΞΈ)
Expression:
sin
β‘
(
π
2
)
β
cos
β‘
(
π
2
)
sin(
2
ΞΈ
β
)βcos(
2
ΞΈ
β
)β
Objective:
Determine the interval over which:
The expression
sin
β‘
(
π
2
)
β
cos
β‘
(
π
2
)
sin(
2
ΞΈ
β
)βcos(
2
ΞΈ
β
) is non-negative.
The interval corresponds to a symmetric half of the cardioid.
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