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useful identities
(A)
sin
(
−
θ
)
=
−
sin
θ
(B)
sin
(
π
−
θ
)
=
sin
θ
cos
(
−
θ
)
=
cos
θ
tan
(
−
θ
)
=
−
tan
θ
(C)
sin
(
π
+
θ
)
=
−
sin
θ
cos
(
π
+
θ
)
=
−
cos
θ
tan
(
π
−
θ
)
=
−
tan
θ
(D)
sin
(
2
π
+
θ
)
=
sin
θ
cos
(
2
π
+
θ
)
=
cos
θ
tan
(
π
+
θ
)
=
tan
θ
(E)
sin
(
π
2
−
θ
)
=
cos
θ
and
sin
(
θ
−
π
2
)
=
−
cos
θ
cos
(
π
2
−
θ
)
=
sin
θ
t
a
n
(
π
2
−
θ
)
=
sin
θ
t
a
n
(
π
2
−
θ
)
=
c
o
t
θ