document.write( "Question 1142690: Find the acute angle between the lines whose slopes are 2 and 1รท3 \n" ); document.write( "
Algebra.Com's Answer #763413 by ikleyn(52873)\"\" \"About 
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document.write( "You are given  \"tan%28alpha%29\" = 2  and  \"tan%28beta%29\" = \"1%2F3\",\r\n" );
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document.write( "and they want you find  acute angle  \"alpha-+beta\".\r\n" );
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document.write( "\"tan%28alpha+-+beta%29\" = \"%28tan%28alpha%29+-+tan%28beta%29%29%2F%281+%2B+tan%28alpha%29%2Atan%28beta%29%29\" = \"%282-1%2F3%29%2F%281+%2B+2%2A%281%2F3%29%29\" = \"%28%285%2F3%29%29%2F%28%281%2B2%2F3%29%29\" = \"%28%285%2F3%29%29%2F%28%285%2F3%29%29%29\" = 1.\r\n" );
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document.write( "Therefore,  \"alpha+-+beta\" = \"pi%2F4\" = 45 degrees.    ANSWER\r\n" );
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