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Problem
Problem
If
X
=
tan
B
−
C
2
tan
A
2
X = \tan \frac{B-C}{2} \tan \frac{A}{2}
X
=
tan
2
B
−
C
tan
2
A
;
Y
=
tan
A
−
B
2
tan
C
2
Y = \tan \frac{A-B}{2} \tan \frac{C}{2}
Y
=
tan
2
A
−
B
tan
2
C
;
Z
=
tan
C
−
A
2
tan
B
2
Z = \tan \frac{C-A}{2} \tan \frac{B}{2}
Z
=
tan
2
C
−
A
tan
2
B
, then find the value of
X
+
Y
+
Z
+
X
Y
Z
X + Y + Z + XYZ
X
+
Y
+
Z
+
X
Y
Z
.
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