document.write( "Question 70641: Hello, \r
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document.write( "I need help with this: If the hypotenuse of a right triangle is 10 units and the legs are 5 and 5 sqrt(3)units, what are the sin, cos, and tan of the smallest angle?\r
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document.write( "Thank you \n" );
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Algebra.Com's Answer #50429 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! I need help with this: If_the hypotenuse of a right triangle is 10 units\r\n" ); document.write( "and the legs are 5 and 5Ö3 units, what are the sin, cos, and tan of\r\n" ); document.write( "the smallest angle? \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " A BC = 5 is the shortest side, so the angle it is \r\n" ); document.write( " /| opposite is the smallest angle. So we want ÐA \r\n" ); document.write( " / | _\r\n" ); document.write( " 10/ |5Ö3 side opposite ÐA BC 5 1\r\n" ); document.write( " / | sin(ÐA) = ——————————————————— = ———— = ———— = ——— \r\n" ); document.write( " / _| hypotenuse AB 10 2\r\n" ); document.write( " B/___|_|C _ _\r\n" ); document.write( " 5 side adjacent ÐA AC 5Ö3 Ö3\r\n" ); document.write( " cos(ÐA) = ——————————————————— = ———— = ————— = ————\r\n" ); document.write( " hypotenuse AB 10 2\r\n" ); document.write( "\r\n" ); document.write( " side opposite ÐA BC 5 1\r\n" ); document.write( " tan(ÐA) = ——————————————————— = ———— = ————— = ————\r\n" ); document.write( " side adjacent ÐA AC 5Ö3 Ö3\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Your teacher may want you to rationalize the denominator of the tangent.\r\n" ); document.write( "If so, _ _\r\n" ); document.write( " 1 Ö3 Ö3\r\n" ); document.write( " tan(ÐA) = ———— × ———— = ———— \r\n" ); document.write( " Ö3 Ö3 3\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |