document.write( "Question 679493: 2cosxsinx+sinx=0 \n" ); document.write( "

Algebra.Com's Answer #421972 by DrBeeee(684) $\"\"$ $\"About$

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Given:
\n" ); document.write( "(1) 2*cosx*sinx + sinx = 0, which factors into
\n" ); document.write( "(2) (sinx)*(2*cosx + 1)= 0 which gives two solutions,
\n" ); document.write( "When
\n" ); document.write( "(3) sinx = 0 and
\n" ); document.write( "(4) 2*cosx + 1 = 0
\n" ); document.write( "The solution to (3) is
\n" ); document.write( "(5) x = n*pi where n is any integer, or 0,180,360,540... degrees.
\n" ); document.write( "And the solution to (4) is
\n" ); document.write( "(6) cosx = -0.5 or
\n" ); document.write( "(7) x = arccos(-0.5) or
\n" ); document.write( "(8) x = 2*pi/3 or 120,300,480... degrees
\n" ); document.write( "Answer: x = (0+n*180,120+n*180) degrees, where n is any integer.
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