document.write( "Question 960601: if cos theta = 7/25 and theta is not acute, find the value of tan 1/2 theta \n" ); document.write( "
Algebra.Com's Answer #587059 by Edwin McCravy(20060)\"\" \"About 
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cos theta = 7/25 and theta is not acute, find the value of tan 1/2 theta
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document.write( "\"tan%28expr%281%2F2%29theta%29\"\"%22%22=%22%22\"\"%281-cos%28theta%29%29%2Fsin%28theta%29\" \r\n" );
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document.write( "So we will need \"sin%28theta%29\".  So we will need the identity:\r\n" );
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document.write( "\"sin%28theta%29=+%22%22+%2B-+sqrt%281-cos%5E2%28theta%29%29\"\r\n" );
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document.write( "Since q is not acute, it is not in the 1st quadrant and the only other quadrant\r\n" );
document.write( "that the cosine is positive in is the 4th quadrant.  The sine is negative in\r\n" );
document.write( "the 4th quadrant, so the identity uses the - sign:\r\n" );
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document.write( "\"sin%28theta%29=+-sqrt%281-cos%5E2%28theta%29%29\"\"%22%22=%22%22\"\"-sqrt%281-%287%2F25%29%5E2%29\"\"%22%22=%22%22\"\"-sqrt%281-49%2F625%29\"\"%22%22=%22%22\"\"-sqrt%28625%2F625-49%2F625%29\"\"%22%22=%22%22\"\"-sqrt%28576%2F625%29\"\"%22%22=%22%22\"\"-24%2F25\"  \r\n" );
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document.write( "\"tan%28expr%281%2F2%29theta%29\"\"%22%22=%22%22\"\"%281-cos%28theta%29%29%2Fsin%28theta%29\"\"%22%22=%22%22\"\"%281-%287%2F25%29%29%2F%28-24%2F25%29\"\r\n" );
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document.write( "Multiply top and bottom by 25\r\n" );
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document.write( "\"tan%28expr%281%2F2%29theta%29\"\"%22%22=%22%22\"\"%2825-7%29%2F%28-24%29\"\"%22%22=%22%22\"\"-18%2F24\"\"%22%22=%22%22\"\"-3%2F4\"\r\n" );
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document.write( "Edwin
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