document.write( "Question 1127697: what are the solutions of sin(4x) + sin(x) = 0 between 0 and pi \n" ); document.write( "

Algebra.Com's Answer #744182 by addingup(3677) $\"\"$ $\"About$

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sin(4x) + sin(x) = 0
\n" ); document.write( "Rewrite the equation:
\n" ); document.write( "4x = (sin^−1)(sin(x)). The right hand side is either x or π−x, or either of these plus any integer multiple of 2π. So, in the following equation find all values of n that give results between 0 and π:
\n" ); document.write( "4x = x + 2nπ
\n" ); document.write( "or
\n" ); document.write( "4x=π−x + 2nπ
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
\n" ); document.write( "example:
\n" ); document.write( "x = (2nπ)/3 or x = ((2n+1)π)/5
\n" ); document.write( " \n" ); document.write( "

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