Expression 2: StartFraction, 1 minus cos left parenthesis, 2 pi "x" , right parenthesis Over 2 , EndFraction left parenthesis, StartFraction, 1 plus sin left parenthesis, 80 "x" minus "t" , right parenthesis Over 2 , EndFraction , right parenthesis to the 1000 power left brace, 0 less than "x" less than 1 , right brace1−cos2πx21+sin80x−t210000<x<1
2
Expression 3: negative 1 plus StartFraction, 1 Over 12 , EndFraction Start sum from "n" equals 0 to 12, end sum, StartFraction, 1 minus cos left parenthesis, 2 pi StartNestedFraction, "n" NestedOver 12 , EndNestedFraction , right parenthesis Over 2 , EndFraction sine left parenthesis, left parenthesis, 2 pi times 80 StartFraction, "n" Over 12 , EndFraction minus "t" , right parenthesis left parenthesis, "x" plus .1 "t" , right parenthesis plus sin left parenthesis, 10 cubed "n" , right parenthesis , right parenthesis−1+11212∑n=01−cos2πn122sin2π·80n12−tx+.1t+sin103n