SOLUTION: find all values of x when x is greater than or equal to 0 degrees and less than 360 degrees. 3secx-cosx-2=0

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Question 497215: find all values of x when x is greater than or equal to 0 degrees and less than 360 degrees. 3secx-cosx-2=0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find all values of x when x is greater than or equal to 0 degrees and less than 360 degrees. 3secx-cosx-2=0
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0≤x<360º
3secx-cosx-2=0
3/cosx-cosx-2=0
multiply by cosx
3-cos^2x-2cosx=0
cos^2x+2cosx-3=0
(cosx+3)(cosx-1)=0
..
cosx+3=0
cosx=-3 (reject, not in range)
..
cosx-1=0
cosx=1
x=0