# SOLUTION: Find the smallest number "x" larger than 14pi such that sin x = sqrt2 / 2 (Give exact answer in terms of pi)

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 Question 278875: Find the smallest number "x" larger than 14pi such that sin x = sqrt2 / 2 (Give exact answer in terms of pi)Answer by CharlesG2(828)   (Show Source): You can put this solution on YOUR website!Find the smallest number "x" larger than 14pi such that sin x = sqrt2 / 2 (Give exact answer in terms of pi) sin x = sqrt(2)/2 x approx 0.78539816 pi approx 3.14 pi/2 approx 1.57 pi/4 approx 0.78539816 x approx pi/4 we need an x larger than 14pi sin repeats every 2pi x = pi/4, 2pi + pi/4, 4pi + pi/4, 6pi + pi/4, 8pi + pi/4, 10pi + pi/4, 12pi + pi/4, 14pi + pi/4, ... smallest x larger than 14 pi is 14pi + pi/4 = 56pi/4 + pi/4 = 57/4 pi