Find all solutions of the equation in the interval [0, 2??). 2 sin x + sin 2x = 0 Write your answer in radians in terms of ?. If there is more than one solution, separate them with commas. x =
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So the equation becomes: 2sin(x) + 2sin(x)cos(x) = 0 Now, we can factor out 2sin(x): 2sin(x)(1 + cos(x)) = 0 This equation is satisfied if either 2sin(x) = 0 or (1 + cos(x)) = 0. For 2sin(x) = 0, we have sin(x) = 0. The solutions in the interval [0, 2π] Show more…
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