document.write( "Question 715378: What are the exact values of the six trig functions of theta when the cot theta is undefined and cos theta < 0? \n" ); document.write( "
Algebra.Com's Answer #439406 by Edwin McCravy(20060)\"\" \"About 
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document.write( "What are the exact values of the six trig functions of ϴ \r\n" );
document.write( "when the cot(ϴ) is undefined and cos(ϴ) < 0? \r\n" );
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document.write( "cot(ϴ) = \"x%2Fy\" which is undefined when y=0, which are at the \r\n" );
document.write( "unit circle points (0,0), where ϴ = 0 and (-1,0) where ϴ = π.\r\n" );
document.write( "cos(0) = 1 and cos(π) = -1, so since cos(ϴ) is < 0, ϴ must be π.\r\n" );
document.write( "r = 1 on the unit circle:\r\n" );
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document.write( "sin(π) = \"y%2Fr\" = \"0%2F1\" = 0 \r\n" );
document.write( "cos(π) = \"x%2Fr\" = \"%28-1%29%2F1\" = -1\r\n" );
document.write( "tan(π) = \"y%2Fx\" = \"0%2F%28-1%29\" = 0\r\n" );
document.write( "sec(π) = \"r%2Fx\" = \"1%2F%28-1%29\" = -1\r\n" );
document.write( "csc(π) = \"r%2Fy\" = \"1%2F0\" = undefined\r\n" );
document.write( "cot(π) = \"x%2Fy\" = \"%28-1%29%2F0\" = undefined.\r\n" );
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document.write( "Edwin
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