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Janiyah Matthews
Mathematics
18 July, 03:40
Find all solutions of given equation
2cosx-1=0
+4
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Peck
18 July, 03:44
0
2cosx=1
cosx=1/2
x=cos∧-1 (1/2)
x=60degrees or 360-60=300degrees
depending on your limits if in radians pi/3 and 5pi/3
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Cayden White
18 July, 04:02
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There are an infinite number of solutions, so I don't plan to list them all.
I'll list two of them, and then describe how to get all of the rest.
You said that 2cos (x) - 1 = 0
Add 1 to each side: 2cos (x) = 1
Divide each side by 2: cos (x) = 1/2
The angles whose cosine is 1/2 are 60 degrees, 300 degrees,
and any multiple of 360 degrees added to either of those.
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