document.write( "Question 1064582: Evaluate sin2x + cos2x when tanx = -2 \n" ); document.write( "
Algebra.Com's Answer #679654 by ikleyn(52903)\"\" \"About 
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\n" ); document.write( "Evaluate sin2x + cos2x when tanx = -2
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document.write( "Use the formulas of half argument written for 2x and x:\r\n" );
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document.write( "sin(2x) = \"%282%2Atan%28x%29%29%2F%281+%2B+tan%5E2%28x%29%29\",  cos(2x) = \"%281-tan%5E2%28x%29%29%2F%281+%2B+tan%5E2%28x%29%29\".\r\n" );
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document.write( "For these formulas see, for example, the lesson\r\n" );
document.write( "    - FORMULAS FOR TRIGONOMETRIC FUNCTIONS \r\n" );
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document.write( "By applying them, you will get\r\n" );
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document.write( "sin(2x) + cos(2x) = \"%282%2Atan%28x%29%29%2F%281+%2B+tan%5E2%28x%29%29\" + \"%281-tan%5E2%28x%29%29%2F%281+%2B+tan%5E2%28x%29%29\" = \"%282%2A%28-2%29%29%2F5+%2B+%28-3%29%2F5\" = \"-7%2F5\".\r\n" );
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document.write( "Answer.  \"-7%2F5\".\r\n" );
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