SOLUTION: Please help me solve this equation find the two values of theta in the interval 0<theta<360 degrees such that 4cos(theta) = 1 Thank you

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Question 947785: Please help me solve this equation
find the two values of theta in the interval 0 Thank you

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find the two values of theta in the interval 0 < theta < 360 degrees such that 4costheta = 1
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cos(theta) = 1/4
Does that help?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

4cos%28theta%29+=+1
cos%28theta%29+=+1%2F4
theta+=+2+pi%2An-cos%5E%28-1%29%281%2F4%29, n element Z
first find
cos%5E%28-1%29%281%2F4%29+=75.52° or 1.31811607 radians
that is
theta+=+2+pi%2An-cos%5E%28-1%29%281%2F4%29, if n+=0
theta+=+2+pi%2A0-cos%5E%28-1%29%281%2F4%29
theta+=1.31811607 radians
theta+=75.52°
second angle
theta+=+2pi%2A1-cos%5E%28-1%29%281%2F4%29, if n+=1
theta+=+2pi-1.31811607
theta+=+6.2831853-1.31811607
theta+=++4.96506923
theta+=284.295008°