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 3x 1 = 0

Solution

2cos3x -1 =0

2cos3x =1

cos3x = 1/2

3x = pi/3 +2pi*n

3x = 2pi - pi/3 +2pi*n = 5pi/3 +2pi*n

Solution -1 : x = pi/9 +2pi*n/3

x = (pi +6pi*n)/9

substitute n = 0, 1, 2,3 ....

x= pi/9 , 7pi/9 , 13pi/9......so on

Solution -2 : x =5pi/9 +2pi*n/3 = ( 5pi +6pi*n)/9

substitute n = 0, 1, 2,3 ....

x = 5pi/9 , 11pi/9 , 17pi/9 ......

Solution : x = pi/9 , 7pi/9 , 13pi/9 , 5pi/9 , 11pi/9 , 17pi/9 .......so on

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 3x 1 = 0S

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