document.write( "Question 1165906: Determine the exact value of each of the following and what quadrant they are in,\r
\n" ); document.write( "\n" ); document.write( "a) tan(-210 degrees)\r
\n" ); document.write( "\n" ); document.write( "b) Sin 300 degrees
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Algebra.Com's Answer #790383 by MathLover1(20850)\"\" \"About 
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\r
\n" ); document.write( "\n" ); document.write( "a) \r
\n" ); document.write( "\n" ); document.write( "\"tan%28-210%29\"\r
\n" ); document.write( "\n" ); document.write( "Use the following property :\r
\n" ); document.write( "\n" ); document.write( " \"tan%28-x%29=-tan+%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"tan%28-210%29=-tan%28210%29\"\r
\n" ); document.write( "\n" ); document.write( "\"tan%28210%29=tan%28180%29%2Btan%2830%29\" ....since \"tan%28180%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"tan%28210%29=tan%2830%29\"\r
\n" ); document.write( "\n" ); document.write( "\"tan%2830%29=-1%2Fsqrt%283%29\"\r
\n" ); document.write( "\n" ); document.write( "=> \"tan%28-210%29=-1%2Fsqrt%283%29\"\r
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\n" ); document.write( "\n" ); document.write( "b) \r
\n" ); document.write( "\n" ); document.write( "\"sin%28300%29\" degrees\r
\n" ); document.write( "\n" ); document.write( "Use the following property :\r
\n" ); document.write( "\n" ); document.write( "\"sin%28x%29=cos%2890-x%29\"\r
\n" ); document.write( "\n" ); document.write( "=> \"sin%28300%29=cos%2890-300%29\"=> \"sin%28300%29=cos%28-210%29\"\r
\n" ); document.write( "\n" ); document.write( "then \"cos%28-210%29=-cos%28210%29\"\r
\n" ); document.write( "\n" ); document.write( " and \"-cos%28210%29=-cos%28180%2B30%29+\"\r
\n" ); document.write( "\n" ); document.write( "Using the summation identity :\r
\n" ); document.write( "\n" ); document.write( "\"cos%28x%2B+y+%29=+cos+%28x+%29+cos+%28y+%29-+sin+%28x+%29+sin+%28y+%29\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%28180%2B+30+%29=+cos+%28180+%29+cos+%2830+%29-+sin+%28180+%29+sin+%2830+%29\"\r
\n" ); document.write( "\n" ); document.write( "since
\n" ); document.write( "\"cos%28180%29=-1\"
\n" ); document.write( "\"cos%2830%29=sqrt%283%29%2F2\"
\n" ); document.write( "\"sin+%28180+%29=0\"
\n" ); document.write( "\"sin+%2830+%29=1%2F2\"\r
\n" ); document.write( "\n" ); document.write( "we have\r
\n" ); document.write( "\n" ); document.write( "\"cos%28180%2B+30+%29=+%28-1%29%28sqrt%283%29%2F2%29-+0%2A%281%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%28180%2B+30+%29=+-sqrt%283%29%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "=>\"sin%28300%29=+-sqrt%283%29%2F2%29\" \r
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