Solve the multipleangle equation Enter your answers as a com

Solve the multiple-angle equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.) 2 cos x/3 2 = 0

Solution

2cos(x/3) - sqrt2 =0

cos(x/3) = sqrt(2)/2

x/3 = cos^-1[sqrt(2)/2]

x/3 = 2k*pi +pi/4

x/3 = ( 8k*pi +pi)/4

x = ( 24k*pi +3pi)/4

x/3 = 2pi - pi/4 = 7pi/4

x/3 = 2k*pi +7pi/4

= (8k*pi +7pi)/4

x= ( 24k*pi +21pi)/4

Solution : x = = ( 24n*pi +3pi)/4 , ( 24n*pi +21pi)/4