document.write( "Question 1138387: Find tan((3pi/4)+theta) when tan theta = -1/2 . \n" ); document.write( "
Algebra.Com's Answer #756202 by ikleyn(52781)\"\" \"About 
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document.write( "Apply the formula for tangent of the sum of arguments\r\n" );
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document.write( "    tan(a + b) = \"%28tan%28a%29%2Btan%28b%29%29%2F%281-tan%28a%29%2Atan%28b%29%29\",\r\n" );
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document.write( "which is valid for all values of \"a\" and \"b\", where the tangent function is defined.\r\n" );
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document.write( "In your case,  a = \"3pi%2F4%29\",  b = \"theta\",  and  \"tan%283pi%2F4%29\" = -1,  so\r\n" );
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document.write( "    \"tan%283pi%2F4%2B+theta%29\" = \"%28tan%283pi%2F4%29%2Btan%28theta%29%29%2F%281-tan%283pi%2F4%29%2Atan%28theta%29%29\" = \"%28%28-1%29%2Btan%28theta%29%29%2F%281-%28-1%29%2Atan%28theta%29%29\" = \"%28-1%2Btan%28theta%29%29%2F%281%2Btan%28theta%29%29\" = \r\n" );
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document.write( "        now substitute \"tan%28theta%29\" = \"-1%2F2\" to get\r\n" );
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document.write( "    \"tan%283pi%2F4%2B+theta%29\" = \"%28-1+-+%28-1%2F2%29%29%2F%281%2B+%28-1%2F2%29%29\" = \"%28%28-3%2F2%29%29%2F%28%281%2F2%29%29\" = -3.      ANSWER\r\n" );
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