Find the general solution of the equation cos 3x + cos x – cos 2x = 0.
Given equations is cos 3x + cos x – cox 2x = 0
⇒ ![]()
⇒ 2 cos2x cos x – cos 2x = 0
⇒ cos 2x( 2cos x – 1) = 0
⇒ cos 2x= 0 or 2 cos x – 1 = 0
⇒ cos 2x= 0 or cos x = 1/2
∴
where n ϵ Z and Z is set of integers
⇒
where n ∈Z and z is set of integers
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