SOLUTION: Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.) 1.(square root 2)/2 co-secant x − 1 =

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Question 855854: Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.)

1.(square root 2)/2 co-secant x − 1 = 0
2.16 cosine^2 x − 4 = 0
3. 4 cosine^3 x = 4 cosine x
5. 2 cosine 3x − 1 = 0

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Domain:[0,2π)
1.(square root 2)/2 co-secant x − 1 = 0




x=π/4, 3π/4
..
2.16 cosine^2 x − 4 = 0


cos(x)=±(1/2)
x=π/3, 2π/3, 4π/3, 5π/3
..
3. 4 cosine^3 x = 4 cosine x
cos^3(x)-cos(x)=0
cos(x)(cos^2(x)-1)=0
cos(x)=0
x=π/2, 3π/2
cos^2(x)-1=0
cos(x)=±1
x=0, π
..
5. 2 cosine 3x − 1 = 0
cos(3x)=1/2
3x=π/3, 5π/3
x=π/9, 5π/9

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