Question

log根号2sin十二分之五π+log根号2cos十二分之五π =log根号2(2sin十二分之五πcos十二分之五π*

Answer 1

log(2sin5π/12)^(1/2)+log(2cos5π/12)^(1/2)=(1/2)log[(2sin5π/12)(2cos5π/12)]

=(1/2)log[2(sin5π/6)]=1/2log1=0