document.write( "Question 1037376: Given \"cos%28theta%29\" = -\"7%2F25\" and 180° < \"theta\" < 270°; find the exact value of \"sin%28theta%2F2%29\". \n" ); document.write( "
Algebra.Com's Answer #652042 by ikleyn(52803)\"\" \"About 
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\n" ); document.write( "Given \"cos%28theta%29\" = -\"7%2F25\" and 180° < \"theta\" < 270°; find the exact value of \"sin%28theta%2F2%29\".
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document.write( "Use the formula of Trigonometry\r\n" );
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document.write( "\"sin%5E2%28theta%2F2%29\" = \"%281-cos%28theta%29%29%2F2\"\r\n" );
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document.write( "(se the lesson Trigonometric functions of half argument in this site).\r\n" );
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document.write( "You will have\r\n" );
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document.write( "\"sin%28theta%2F2%29\" = \"sqrt%28%281-%28-7%2F25%29%5E2%29%2F2%29\" = \"sqrt%28%281+-+49%2F625%29%2F2%29\" = \"sqrt%28%28625-49%29%2F%282%2A625%29%29\" = \"sqrt%28576%2F%282%2A625%29%29\" = \"24%2F%28sqrt%282%29%2A25%29\" = \"%2812%2Asqrt%282%29%29%2F25\".\r\n" );
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document.write( "The sign \"+\" was chosen at the square root since the angle \"theta%2F2\" lies in the 2-nd quadrant.\r\n" );
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\n" ); document.write( "\n" ); document.write( "For similar problems see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Calculating trigonometric functions of angles\r
\n" ); document.write( "\n" ); document.write( "    - Advanced problems on calculating trigonometric functions of angles\r
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