document.write( "Question 574635: $\"%22tan15%B0%22%2F%22cot75%B0%22\"$ + $\"%22sin35%B0%22%2F%22cos55%B0%22\"$ \n" ); document.write( "

Algebra.Com's Answer #369194 by Edwin McCravy(20065) $\"\"$ $\"About$

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document.write( "15° and 75° are complementary angles, because their sum 15°+75° is 90°\r\n" );
document.write( "Tangent and cotangent are complementary functions, usually called \"cofunctions\".\r\n" );
document.write( "Complementary functions of complementary angles are equal.\r\n" );
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document.write( "Therefore  tan15° = cot75°  therefore  = 1\r\n" );
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document.write( "Similarly 35° and 55° are complementary angles, because their sum 35°+55° is 90°,\r\n" );
document.write( "Sine and cosine are complementary functions, or \"cofunctions\". As above,\r\n" );
document.write( "complementary functions of complementary angles are equal.\r\n" );
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document.write( "Therefore  sin35° = cos55°  therefore  = 1\r\n" );
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document.write( "So,  +  = 1 + 1 = 2.\r\n" );
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document.write( "Edwin

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