Find the exact solutions to the equation sin 2x cos x 0 in

Find the exact solutions to the equation sin (2x) + cos x = 0 in the interval [0, 2]

Can you provide me with the step by step process so that I can understand this question please?

Solution

Sin (2x) +cos x=0

2sin x cos x + cos x=0

cos x(2sin x +1)=0

cos x=0 , sin x=-1/2

x=pi/2 , 3pi/2 , x =7pi/3 , 11pi/3

Find the exact solutions to the equation sin (2x) + cos x = 0 in the interval [0, 2] Can you provide me with the step by step process so that I can understand t

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