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 5x 1 = 0

Solution

Given equation

2cos 5x - 1 = 0

Cos5x = 1/2

So 5x can be 60^o

That is pi/3

Cos is positive in first and fourth quadrant

So 5x = pi/3, 2pi + pi/3 , 4pi+ pi/3

Implies x = pi/15, 7 pi/15, 13pi/15

In terms of n

x = 2n pi + pi/3