Find the solution for x on the interval [0, 2)
2 cos x sin x –cos x = 0

x = pi / 2 or pi / 6 or 5 pi / 6

Step-by-step explanation:

2 cos x sin x –cos x = 0

cos x ( 2  sin x – 1) = 0

cos x = 0 or 2  sin x – 1 = 0

x = pi/2 or sinx = 1/2

x= pi /2 or x = pi/6 or pi-pi/6

x = pi / 2 or pi / 6 or 5 pi / 6

as for sinx = k

if x is a solution, pi-x is also a solution

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step-by-step explanation: