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Mathematics
Mathematics
Problem
Prove that
sin
(
x
+
π
3
)
−
sin
(
x
−
π
3
)
cos
(
x
+
π
3
)
−
cos
(
x
−
π
3
)
≡
−
cot
x
\frac{\sin\left(x + \frac{\pi}{3}\right) - \sin\left(x - \frac{\pi}{3}\right)}{\cos\left(x + \frac{\pi}{3}\right) - \cos\left(x - \frac{\pi}{3}\right)} \equiv -\cot x
cos
(
x
+
3
π
)
−
cos
(
x
−
3
π
)
sin
(
x
+
3
π
)
−
sin
(
x
−
3
π
)
≡
−
cot
x
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