document.write( "Question 496428: Need help solving the trigonometric equation sin2theta + square root 2 cos theta=0 \n" ); document.write( "

Algebra.Com's Answer #336516 by lwsshak3(11628) $\"\"$ $\"About$

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sin2theta + square root 2 cos theta=0
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\n" ); document.write( "for 0 ≤ x ≤ 2π
\n" ); document.write( "sin2x +√2 cosx=0
\n" ); document.write( "2sinxcosx+√2cosx=0
\n" ); document.write( "cosx(2sinx+√2)=0
\n" ); document.write( "..
\n" ); document.write( "cosx=0
\n" ); document.write( "x=π/2 and 3π/2
\n" ); document.write( "..
\n" ); document.write( "2sinx+√2)=0
\n" ); document.write( "2sinx=-√2)
\n" ); document.write( "sinx=-√2/2
\n" ); document.write( "x=5π/4 and 7π/4 (in quadrants III and IV where sin<0)
\n" ); document.write( "ans:
\n" ); document.write( "x=π/2, 3π/2, 5π/4, and 7π/4 \n" ); document.write( "

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