Question

Prove that: log tan1^0.log tan2^0.log tan3^0.............log tan 89^0=0

Answer 1

Step-by-step explanation:

log(tan 1^0) .log (tan 2^0). log(tan3^0).....log (tan89^0)=0

using the identity

log(a^b)=blog(a)

=0*log (tan 1).0*log(tan 2).0*log(tan 3)......0*log(tan 89)=0

=0*0*0=0

=0

proved