SOLUTION: find all values of &#945;; 0°<&#945;<360° that satisfy 2cos2x=1

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Question 683333: find all values of α; 0°<α<360° that satisfy 2cos2x=1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find all values of α; 0°<α<360° that satisfy
2cos(2x)=1
2(1-2sin^2x)=1
1-2sin^2x=1/2
2sin^2x=1-1/2=1/2
sin^2x=1/4
sinx=1/2
x=30º and 150º