Question

PROVE THAT - a^(m+n)(m-n) x a^(n+1)(n-1) x a^(1+m)(+1-m) = 1

Answer 1

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