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Find all solutions to the equation in the interval [0, 2π) 2 cos x + sin 2x = 0
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hi kcb,, the trig identity is: sin 2x=2sin x cos x
therefore, 2cos x +2sin x cos x+0
im sorry,its equal to zero 2cos x +2sin x cos x=0
now take out the cos x,... cos x (2+2sin x)=0
here both are equaled to zero that is, cos x =0 and 2+2 sin x = 0
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x=arc cos 0 and 2sin x=-2 sin x=-2/2 sin x=-1 x=arc sin -1 x=pi/2 and x=-pi/2
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