document.write( "Question 949440: sin(x+40)+sin(x+50)=0 \n" ); document.write( "

Algebra.Com's Answer #579642 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( " $\"sin%28x%2B40%29%2Bsin%28x%2B50%29=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"0.642787cos%28x%29%2B0.766+sin%28x%29+%2B0.766+cos%28x%29%2B0.642787+sin%28x%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"0.642787cos%28x%29%2B0.766+cos%28x%29%2B0.766+sin%28x%29+%2B0.642787+sin%28x%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1.408787cos%28x%29%2B1.408787+sin%28x%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1.408787cos%28x%29%2F1.408787%2B1.408787+sin%28x%29%2F1.408787=0%2F1.408787\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"cos%28x%29%2B+sin%28x%29=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+pi%2An-pi%2F4\"$ , for all $\"+n\"$ element $\"Z\"$ -> often used to denote the set of all integers ( $\"Z\"$ standing for the German word Zahlen which means \"numbers\" )\r
\n" ); document.write( "\n" ); document.write( "check for these values:
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\n" ); document.write( " $\"n=-1\"$ , then $\"x+=+-pi%2A1-pi%2F4\"$ => $\"x+=+-5pi%2F4\"$
\n" ); document.write( " $\"n=0\"$ , then $\"x+=+pi%2A0-pi%2F4\"$ => $\"x+=+-pi%2F4\"$
\n" ); document.write( " $\"n=1\"$ , then $\"x+=+pi%2A1-pi%2F4\"$ => $\"x+=+3pi%2F4\"$ ....and so on\r
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