document.write( "Question 1171118: If and sin∝=4/5, and ∝ is an acute angle, find the exact value of sin 2∝ \n" ); document.write( "
Algebra.Com's Answer #796019 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "If and sin(a)=4/5, and \"a\" is an acute angle, find the exact value of sin 2a.
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document.write( "If sin(a) = \"4%2F5\",  then cos(a) = \"sqrt%281-sin%5E2%28a%29%29\" = \"sqrt%281-%284%2F5%29%5E2%29\" = \"sqrt%28%2825-16%29%2F25%29\" = \"sqrt%289%2F25%29\" = \"3%2F5\".\r\n" );
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document.write( "and we use the positive value of the square root, since the angle \"a\" is acute.\r\n" );
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document.write( "Next,  sin(2a) = one of the basic formula of Trigonometry = 2*sin(a)*cos(a) = \"2%2A%284%2F5%29%2A%283%2F5%29\" = \"24%2F25\".    ANSWER\r\n" );
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