document.write( "Question 639811: sin x - cos x =0 \n" ); document.write( "
Algebra.Com's Answer #402875 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\"sin+x+-+cos+x+=0\"\r
\n" ); document.write( "\n" ); document.write( "As we can see, the equation is linear, in \"sin+x\" and \"cos+x\". The way of solving this kind of equation is to divide entire equation with \"\"cos+x\"\".\r
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\n" ); document.write( "\n" ); document.write( "\"sin+x%2Fcos+x+-+cos+x%2Fcos+x+=0%2Fcos+x\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28sin+x%2F+cos+x%29+-+1+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "Instead of the ratio \"sin+x%2F+cos+x\", we'll use the resulting function, \"tg+x\".\r
\n" ); document.write( "\n" ); document.write( "The obtained equation is an elementary equation.\r
\n" ); document.write( "\n" ); document.write( "\"tg+x+-+1+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\"tg+x=1\"\r
\n" ); document.write( "\n" ); document.write( "\"x=+arctg1+%2Bk%2Api\"\r
\n" ); document.write( "\n" ); document.write( "\"x=+pi%2F4+%2B+k%2Api\"\r
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