(ii) If ABC is a right-angled triangle at C having u units, v units and w units as the lengths of its sides opposite to the vertices A, B, C respectively, then what is tan A+tan B equal to?
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tanA=
b
a
tanB=
a
b
∴tanA+tanB=
b
a
+
a
b
=
ab
a
2
+b
2
=
ab
c
2
(∵c
2
=a
2
+b
2
)
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