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
