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Problems
If
x
tan
(
θ
+
α
)
=
y
tan
(
θ
+
β
)
=
z
tan
(
θ
+
γ
)
\frac{x}{\tan(\theta + \alpha)} = \frac{y}{\tan(\theta + \beta)} = \frac{z}{\tan(\theta + \gamma)}
t
a
n
(
θ
+
α
)
x
=
t
a
n
(
θ
+
β
)
y
=
t
a
n
(
θ
+
γ
)
z
…
Mathematics
Problem
If
x
tan
(
θ
+
α
)
=
y
tan
(
θ
+
β
)
=
z
tan
(
θ
+
γ
)
\frac{x}{\tan(\theta + \alpha)} = \frac{y}{\tan(\theta + \beta)} = \frac{z}{\tan(\theta + \gamma)}
t
a
n
(
θ
+
α
)
x
=
t
a
n
(
θ
+
β
)
y
=
t
a
n
(
θ
+
γ
)
z
, prove that :
Σ
x
+
y
x
−
y
sin
2
(
α
−
β
)
=
0.
\Sigma \frac{x+y}{x-y} \sin^2(\alpha - \beta) = 0.
Σ
x
−
y
x
+
y
sin
2
(
α
−
β
)
=
0.
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