Solve the equation on the ineterval [0,2pi] 2cos^2 x+sin x -2=0

Holzkeulecz

Holzkeulecz

Answered question

2022-08-08

Solve the equation on the ineterval [ 0 , 2 π ]
2 cos 2 x + sin x 2 = 0

Answer & Explanation

agergadas3b

agergadas3b

Beginner2022-08-09Added 16 answers

Properties of cos 2
1) cos 2 ( x ) = 1 sin 2
Replace the cos 2 and times 2
2) 2 sin 2 ( x ) sin ( x ) + 2 = 0
3) sin ( x ) [ 2 sin ( x ) 1 ] = 0
4) sin ( x ) = 0   o r   sin ( x ) = 1 2
Answer: 0 , 2 π   o r   π 6 , 5 π 6

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