document.write( "Question 1107873: If \"sin%28theta%29=5%2F13\" is in quadrant 2, what is the value of \"sin%28%28theta%29%2B%283pi%2F2%29%29\" \n" ); document.write( "
Algebra.Com's Answer #722940 by ikleyn(52905)\"\" \"About 
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\n" ); document.write( "If \"sin%28theta%29=5%2F13\" is in quadrant 2, what is the value of \"sin%28%28theta%29%2B%283pi%2F2%29%29\"
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document.write( "  \"sin%28%28theta%29%2B%283pi%2F2%29%29\" = \"sin%28theta%29%2Acos%283pi%2F2%29+%2B+cos%28theta%29%2Asin%283pi%2F2%29\" = \r\n" );
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document.write( "= \"sin%28theta%29%2A0+%2B+cos%28theta%29%2A%28-1%29\" = \"-cos%28theta%29\" = \"abs%28sqrt%281-sin%5E2%28theta%29%29%29\" = \"abs%28sqrt%281-%285%2F13%29%5E2%29%29\" = \"abs%28sqrt%281-25%2F169%29%29\" = \"abs%28sqrt%28144%2F169%29%29\" = \"12%2F13\".\r\n" );
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document.write( "Abs is taken,  since the angle \"theta\" is in QII, where cosine is negative; therefore, \"-cos%28theta%29\" is positive.\r\n" );
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