document.write( "Question 1192561: tan(45-theta)=-1 , in the interval 0 ≤x<360 -->solve.\r
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\n" ); document.write( "1. tan inverse which gave -45 degrees
\n" ); document.write( "2. Using cast diagram -- any clockwise towards the tan and all section
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Algebra.Com's Answer #824438 by ikleyn(52873)\"\" \"About 
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\n" ); document.write( "tan(45-theta)=-1 , in the interval 0 ≤x<360 -->solve.
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document.write( "You are given  \"tan%2845%5Eo+-+theta%29\" = -1.\r\n" );
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document.write( "From it, you conclude that  \r\n" );
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document.write( "    45° - \"theta\" = 135°       (a)\r\n" );
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document.write( "or\r\n" );
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document.write( "    45° - \"theta\" = 315°       (b)\r\n" );
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document.write( "From (a),  you have  \"theta\" = 45° - 135° = -90°,  which geometrically is the same as  270°.\r\n" );
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document.write( "From (b),  you have  \"theta\" = 45° - 315° = -270°,  which geometrically is the same as  90°.\r\n" );
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document.write( "So, you conclude that the problem has two solutions:  \"theta\" = 90°  or  \"theta\" = 270°.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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