Solve each equation in the interval (0,2pie)

Question

2cosx-1=0

Answer 1

Hi Zach,

 

 

Solve each equation in the interval (0,2pi)
2cosx-1=0

 

add 1 to both sides

 

2cosx=1

 

divide both sides by 2

 

cosx=1/2

 

 

Cosine is positive in Quadrant I and Quadrant IV

 

x=pi/3  and  5pi/3

 

ANSWER:  x=pi/3 and 5pi/3