1 + tan(44) = 1 + tan(45 - 1) = 1 + [ 1 - tan(1) / 1 + tan(1) ] = 2 / ( 1 + tan(1) )
do same for terms from end. See from above that denominator cancels out with ( 1 + tan1 ) in numerator. Like this all the terms cancel out giving the product equal to 222. So, k = 22.