SOLUTION: Find all values of x that satisfy the equation 2cosx-1=0, in the interval [0, 2pi] The correct answer is one of the following. Which one? A) pi/2, 3pi/2 B) pi/4, 3pi/4

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Question 1198604: Find all values of x that satisfy the equation 2cosx-1=0, in the interval [0, 2pi]
The correct answer is one of the following.
Which one?
A) pi/2, 3pi/2
B) pi/4, 3pi/4
C) pi/2, 3pi/4
D) pi/6, 5pi/6
E) pi/3, 5pi/3
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

The given equation  2*cos(x) - 1 = 0 is equivalent to 

    2*cos(x) = 1,  or  cos(x) = ,


which has the roots  x =   and  x =   in the interval [0,) and has no other roots in this interval. 


ANSWER.  Option E).

Solved.

-----------------

By the way,  interval  [,]  is shown  INCORRECTLY  in your post.

The standard and traditional notation for this interval is  [,)
 with the curved closing parenthesis.


As you write it incorrectly,  I can make my conclusion about your mathematical competency.



Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

, in the interval [, ]








solutions in the interval [, ]



answer:
E)
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