Solve the multipleangle equation Use n as an integer constan

Solve the multiple-angle equation. (Use n as an integer constant, where x = [0, 8) when n = 0.)

sin x/4 = (sqrt 3) / 2

x = _____(smaller value for n = 0)

x = _____ (larger value for n = 0)

Solution

sin(x/4)=-sqrt3/2

taking sine inverse on both sides

x/4=sin-1(-sqrt3/2)

x/4=4pi/3 , 5pi/3

x=16pi/3 , 20pi/3

Solve the multiple-angle equation. (Use n as an integer constant, where x = [0, 8) when n = 0.) sin x/4 = (sqrt 3) / 2 x = _____(smaller value for n = 0) x = __

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