solve for x: 0 = 1/2 - cos x?

Answer 1

cos x = 1/2
x = 60° , x = 300°

Answer 2

You'll need the use the ArcCosine function in order to get X by itself. Since this is a trigonometric function X represents an angle.

Let's first isolate the Cos(X) part:

-cos x = -1/2

cos x = 1/2

x = arccos(1/2) [this is the same as saying inverse cosine of 1/2 or cos^-1(1/2)]

The cosine function can take on values in quadrants I and IV:

x = 60 degrees or pi/3 radians.

or

x = 300 degrees or 5pi/3 radians

Answer 3

You get that cos x = 1/2 by adding cos x to both sides.
cos x is 1/2 when x = pi/3, 60 degrees
Also when x = 5pi/3
I dont know what domain you are looking for-
but if it's for all x, its {pi/3 + 2pi *n} U {5pi/3 +2pi *n} where n is any integer

Answer 4

cos x =1/2

x =Pi/3
x = 5Pi/3

for x between 0 and 2Pi