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Mathematics
Mathematics
Problem
Prove that
cos
θ
+
sin
(
270
∘
+
θ
)
−
sin
(
270
∘
−
θ
)
+
cos
(
180
∘
+
θ
)
=
0.
\cos \theta + \sin (270^\circ + \theta) - \sin (270^\circ - \theta) + \cos (180^\circ + \theta) = 0.
cos
θ
+
sin
(
27
0
∘
+
θ
)
−
sin
(
27
0
∘
−
θ
)
+
cos
(
18
0
∘
+
θ
)
=
0.
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