SOLUTION: find the exact solutions of 2cos^2x=1 for the interval 0<x<2pi, i missed a few days of school so i have no clue how to do these types of problems because my teacher decided to not

SOLUTION: find the exact solutions of 2cos^2x=1 for the interval 0<x<2pi, i missed a few days of school so i have no clue how to do these types of problems because my teacher decided to not

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Question 691917: find the exact solutions of 2cos^2x=1 for the interval 0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find the exact solutions of 2cos^2x=1 for the interval (0,2π)
2cos^2x=1
cos^2x=1/2
take sqrt of both sides
cosx=�1/√2=�√2/2
x=3π/4 and 5π/4 in quadrants II and III where cos<0
and
x=π/4 and 7π/4 in quadrants I and IV where cos>0
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