An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate.

Question

cos(θ/2)-1=0

Find the solutions in the interval [0, 2π)

Answer 1

cosx/2 = 1

x/2 = cos^-1(1) = the angle whose cosine = 1

, 4/2 = 0 or 2pi

x= 2(0) = 2(2pi)

= 0, 4pi

x= 0, 4pi, or 4pi+2kpi where k is any even integer

but only x=0 is in the interval [0,2pi]