document.write( "Question 1077075: If sin 3A=cos(A-26°) where 3A is an acute angle,find the value of A. \n" ); document.write( "

Algebra.Com's Answer #691642 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "If sin 3A=cos(A-26°) where 3A is an acute angle,find the value of A.
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document.write( "Use the identity  = , which is the same as cos(x) = sin(90°-x).\r\n" );
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document.write( "It gives\r\n" );
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document.write( "sin(3A) = sin(90° - A + 26°).\r\n" );
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document.write( "The last equation implies (since all the angles are in QI)\r\n" );
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document.write( "3A = 90° - A + 26°,   or\r\n" );
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document.write( "4A = 116°,\r\n" );
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document.write( "A =  = 29°.\r\n" );
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document.write( "Answer.  A = 29°.\r\n" );
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