document.write( "Question 799269: Solve cos^2(w)=-3sin(w) for all solutions 0 <= w < 2pi \n" ); document.write( "

Algebra.Com's Answer #482745 by lwsshak3(11628) $\"\"$ $\"About$

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Solve cos^2(w)=-3sin(w) for all solutions 0 <= w < 2pi
\n" ); document.write( "cos^2(w)=-3sin(w)
\n" ); document.write( "1-sin^2(w)=-3sin(w)
\n" ); document.write( "sin^2(w)-3sin(w)-1=0
\n" ); document.write( "use quadratic formula to solve for sin(w)
\n" ); document.write( " $\"sin%28w%29+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "a=1, b=-3, c=-1
\n" ); document.write( "ans:
\n" ); document.write( "sin(w)=-0.3028
\n" ); document.write( "w≈3.4492, 5.9755 (in quadrants III and IV where sin<0)
\n" ); document.write( "or
\n" ); document.write( "sin(w)=3.3028(reject, -1 < sin(w) < 1) \n" ); document.write( "

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