SOLUTION: Solve equation for all value of ø if ø measure in degrees (cosø)(sin2ø)-2sinø+2=0

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Question 403220: Solve equation for all value of ø if ø measure in degrees
(cosø)(sin2ø)-2sinø+2=0
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
cosw%2Asin2w-2sinw%2B2=0
Formula sin2w=2sinw%2Acosw
cosw%2A2sinw%2Acosw-2sinw%2B2=0
%28cosw%29%5E2%2A2sinw-2sinw%2B2=0
Formula %28cosw%29%5E2=1-%28sinw%29%5E2
%281-%28sinw%29%5E2%29%2A2sinw-2sinw%2B2=0
2sinw-2%28sinw%29%5E3-2sinw%2B2=0
-2%28sinw%29%5E3%2B2=0
-2%28sinw%29%5E3=-2
%28sinw%29%5E3=1
sinw=1
w=90%2B360%2Ak, k any integer