SOLUTION: Solve cos^2(w)=-3sin(w) for all solutions 0 <= w

SOLUTION: Solve cos^2(w)=-3sin(w) for all solutions 0 <= w < 2pi

Question 799269: Solve cos^2(w)=-3sin(w) for all solutions 0 <= w < 2pi
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve cos^2(w)=-3sin(w) for all solutions 0 <= w < 2pi
cos^2(w)=-3sin(w)
1-sin^2(w)=-3sin(w)
sin^2(w)-3sin(w)-1=0
use quadratic formula to solve for sin(w)

a=1, b=-3, c=-1
ans:
sin(w)=-0.3028
w≈3.4492, 5.9755 (in quadrants III and IV where sin<0)
or
sin(w)=3.3028(reject, -1 < sin(w) < 1)
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