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 =

Algebra ->  Trigonometry-basics -> 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 =      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Domain:[0,2π)
1.(square root 2)/2 co-secant x − 1 = 0
%28sqrt%282%29%2F2%29+csc%28x%29-1=0
%28sqrt%282%29%2F2%29+csc%28x%29=1
csc%28x%29=2%2Fsqrt%282%29
sin%28x%29=sqrt%282%29%2F2
x=π/4, 3π/4
..
2.16 cosine^2 x − 4 = 0
16cos%5E2%28x%29-4=0
cos%5E2%28x%29=4%2F16=1%2F4
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