PROVE THAT - a^(m+n)(m-n) x a^(n+1)(n-1) x a^(1+m)(+1-m) = 1
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Answer:
tan
−1
(
m+n
m−n
)=tan
−1
(
n
m
+1
n
m
−1
)=tan
−1
(
1+tanxtanπ/4
tanx−tanπ/4
)=tan
−1
(tan(x−
4
π
))=x−
4
π
=tan
−1
n
m
−
4
π
tan[tan
−1
n
m
−tan
−1
(
m+n
m−n
)]=tan[tan
−1
n
m
−tan
−1
n
m
+
4
π
]=tan
4
π
=1
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