
Abbi F.
asked 10/21/21Solve the equation on the interval , [0, 2π). Write numbers as integers or simplified fractions and separate multiple answers with commas. cosx=1/6
1 Expert Answer
So the answer in the first quadrant is the cos-1(1/6) (Make sure calculator is in radians. (θ = 1.4033)
If you look at the unit circle, this solution is an angle with x = 1/6 and y = sqrt(1-(1/6)2)
The other angle with the same positive cos will be the mirror image angle into the 4th quadrant θ' = -θ.or 2pi-θ as we can't go below 0.
Since 0 to 2pi is all the way around, there are no more solutions in the given range. All solutions possible would b 2pi*n +/- θ where n is is all integer n.
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Mark M.
Can you use a calculator?10/21/21