document.write( "Question 1184167: \"If+arcSin%28x%29+%2B+arcSin%28y%29+%2B+arcSin%28z%29\" = 3pi/2}}} then find value of x^9 + y^9 + z^9 - (1/x.y.z)^9 where / means division and ^9 means power 9. \n" ); document.write( "
Algebra.Com's Answer #849593 by ikleyn(52821)\"\" \"About 
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\n" ); document.write( "If arcsin(x) + arcsin(y) + arcsin(z) = \"3pi%2F2\" then find value of x^9 + y^9 + z^9 - (1/x.y.z)^9 where / means division and ^9 means power 9.
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document.write( "Function  arcsin()  has the range from  \"-pi%2F2\"  to  \"pi%2F2\".\r\n" );
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document.write( "Therefore, if  arcsin(x) + arcsin(y) + arcsin(z) = \"3pi%2F2\",  then it implies\r\n" );
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document.write( "    arcsin(x) = arcsin(y) = arcsin(z) = \"pi%2F2\".\r\n" );
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document.write( "Hence,\r\n" );
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document.write( "    x = y = z = \"sin%28pi%2F2%29\" = 1.\r\n" );
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document.write( "Therefore,\r\n" );
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document.write( "    x^9 + y^9 + z^9 - \"1%2F%28%28x%2Ay%2Az%29%5E9%29\" = 1 + 1 + 1 - 1 = 2.\r\n" );
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document.write( "ANSWER.  If  arcsin(x) + arcsin(y) + arcsin(z) = \"3pi%2F2\"  then  x^9 + y^9 + z^9 - \"1%2F%28x%2Ay%2Az%29%5E9\" = 2.\r\n" );
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