document.write( "Question 1078890: sin10°cot 20°cos 30°tan40°tan50°cosec 60°cot70°sec 80°=1 prove. \n" ); document.write( "

Algebra.Com's Answer #693280 by ikleyn(52869) $\"\"$ $\"About$

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\n" ); document.write( "sin10°cot 20°cos 30°tan40°tan50°cosec 60°cot70°sec 80°=1 prove.
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\n" ); document.write( "\n" ); document.write( "Use basic trigonometry identities:\r
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document.write( "1.  sin(10°) = cos(80°) =    --->  sin(10°)*sec(80°) = 1.\r\n" );
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document.write( "2.  cot(20°) =    --->  cot(20°)*cot(70°) = 1.\r\n" );
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document.write( "3.  cos(30°) = sin(60°) =    --->  cos(30°)*cosec(60°) = 1.\r\n" );
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document.write( "4.  tan(40°) =    --->  tan(40°)*tan(50°) = 1.\r\n" );
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document.write( "5.  =======>  sin10°cot 20°cos 30°tan40°tan50°cosec 60°cot70°sec 80° = 1.   Proved.\r\n" );
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