document.write( "Question 1079426: If tan theta=8, find the exact value of cot(pi/2-theta). \n" ); document.write( "
Algebra.Com's Answer #693752 by Edwin McCravy(20059)\"\" \"About 
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document.write( "\"tan%28theta%29=8=8%2F1=opposite%2F%28adjacent%29\" so we draw a very steep\r\n" );
document.write( "right triangle with the opposite = 8 and the adjacent = 1. \r\n" );
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document.write( "The small sharp angle at the top is the complement of q\r\n" );
document.write( "\"cot%28pi%2F2-theta%29=adjacent%2F%28opposite%29=8%2F1=8\"\r\n" );
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document.write( "So \"tan%28theta%29+=+8+=+cot%28pi%2F2-theta%29+=+8\"\r\n" );
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document.write( "\"COtangent\" is an abbreviation for \"COmplement's tangent\",\r\n" );
document.write( "and cot(p/2-q) IS q's COmplement's tangent. \r\n" );
document.write( "That's why both are equal.\r\n" );
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document.write( "The opposite side of q is the adjacent side of p/2-q and vice-versa.\r\n" );
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document.write( "Edwin
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