Posted by Greg on Tuesday, January 14, 2014 at 10:55pm.
Mark any solutions to the equation 2cos2x - 1 = 0. The answer can be more than one. Thank you
- TRIG help quickly please - Reiny, Tuesday, January 14, 2014 at 11:22pm
2 cos (2x) - 1 = 0
cos (2x) = 1/2
2x = π/3 or 2x = 2π-π/3 or 5π/3
x = π/6 or x = 5π/6
none of the given answers apply
I will assume you meant
2 cos^2 x - 1 = 0
2cos^2 x -1 = cos (2x)
so cos(2x) = 0
2x = π/2 or 2x = 3π/2
x = π/4 or x = 3π/4
I see one of those answers. 3π/4
looking at the others, note that -7π/4 is coterminal with π/4
so it would be a solution as well
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