document.write( "Question 708067: what is the exact value of\r
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Algebra.Com's Answer #435972 by Edwin Parker(36)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "csc[tan-1(-0.62)]\r\n" );
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document.write( "The inverse tangent of a negative number is a negative angle\r\n" );
document.write( "in the fourth quadrant.  The cosecant of an angle in the fourth \r\n" );
document.write( "quadrant is negative.  So the answer will be negative.\r\n" );
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document.write( "Let ϴ = tan-1(-0.62)\r\n" );
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document.write( "Then  \r\n" );
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document.write( "csc[tan-1(-0.62)] = csc(ϴ) \r\n" );
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document.write( "So we want csc(ϴ)\r\n" );
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document.write( "tan(ϴ) = -0.62 = \"-62%2F100\" = \"-31%2F50\"\r\n" );
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document.write( "cot(ϴ) = \"1%2Ftan%28theta%29\" = \"-50%2F31\"\r\n" );
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document.write( "We use \r\n" );
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document.write( "cscē(ϴ) = 1 + cotē(ϴ) \r\n" );
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document.write( "cscē(ϴ) = 1 + \"%28-50%2F31%29%5E2\"\r\n" );
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document.write( "cscē(ϴ) = 1 + \"2500%2F961\"\r\n" );
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document.write( "cscē(ϴ) = \"961%2F961\" + \"2500%2F961\"\r\n" );
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document.write( "cscē(ϴ) = \"3461%2F961\"\r\n" );
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document.write( "Take square roots of both sides.  And since we know\r\n" );
document.write( "the answer is negative, we take the negative square root:\r\n" );
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document.write( " csc(ϴ) = \"-sqrt%283461%2F961%29\"\r\n" );
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document.write( " csc(ϴ) = \"-sqrt%283461%29%2F31%29\"\r\n" );
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document.write( "Edwin
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