document.write( "Question 473053: sin theta = cos (theta - 30°) theta is +ve acute angle. Find sin theta + cos theta. \n" ); document.write( "

Algebra.Com's Answer #324398 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "sinq = cos(q - 30°)\r\n" );
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document.write( "The word \"cosine\" is an abbreviation for \"complement's sine\"\r\n" );
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document.write( "If the sine of one positive acute angle equals the\r\n" );
document.write( "cosine of another positive acute angle, then the\r\n" );
document.write( "angles are complementary.  Therefore:\r\n" );
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document.write( "q + (q - 30°) = 90°\r\n" );
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document.write( "  q + q - 30° = 90°\r\n" );
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document.write( "     2q - 30° = 90°\r\n" );
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document.write( "           2q = 120°\r\n" );
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document.write( "            q = 60°  \r\n" );
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document.write( "sinq = \r\n" );
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document.write( "cosq = \r\n" );
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document.write( "sinq + cosq = .\r\n" );
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document.write( "Edwin

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