document.write( "Question 1064670: Given Sin(A) = and Cos(B) =
in Quadrant I, find Tan(A+B).\r
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document.write( "A.)
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document.write( "B.)
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document.write( "C.)
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document.write( "D.)
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document.write( "Thanks. \n" );
document.write( "
Algebra.Com's Answer #679763 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! tan(A+B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B)) \n" ); document.write( ": \n" ); document.write( "sin^-1 (3/5) = 36.8699 \n" ); document.write( ": \n" ); document.write( "cos^-1 (8/17) = 61.9275 \n" ); document.write( ": \n" ); document.write( "tan(A) = tan(36.8699) = 0.75 \n" ); document.write( ": \n" ); document.write( "tan(B) = tan(61.9275) = 1.875 \n" ); document.write( ": \n" ); document.write( "******************************************************** \n" ); document.write( "tan(A+B) = (0.75 + 1.875) / (1-(0.75 * 1.875)) = -6.4615 \n" ); document.write( ": \n" ); document.write( "Answer is D.) \n" ); document.write( "******************************************************** \n" ); document.write( ": \n" ); document.write( "Note we could have calculated tan(36.8699 + 61.9275) which is \n" ); document.write( "equal to our calculation above \n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |