Find all values of x in the interval [0, 2pi] that satisfy the equation: 2cos x=- sin 2x

pipantasi4

pipantasi4

Answered question

2022-07-15

Find all values of x in the interval [ 0 , 2 π ] that satisfy the equation:
2 cos x = sin 2 x

Answer & Explanation

Asdrubali2r

Asdrubali2r

Beginner2022-07-16Added 14 answers

2 cos x = sin 2 x
2 cos x = 2 sin x cos x
cos x sin x cos x = 0
cos x ( 1 + sin x ) = 0
cos x = 0       sin x = 1
x = π 2 ; 3 π 2       x = 3 π 2
Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-01Added 2605 answers

Answer is given below (on video)

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