document.write( "Question 1200007: Evaluate tan^-1(tan(3pi/4))\r
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document.write( "(tan^-1 = tan inverse) \n" );
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Algebra.Com's Answer #834000 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The range of tan^(-1) is the range of angles closest to 0 over which the tangent function takes on all its values exactly once. That range is from -pi/2 to +pi/2. \n" ); document.write( "Since the period of tan(x) is pi, we need to add or subtract multiples of pi to the given angle of (3/4)pi to get a concurrent angle between -pi/2 and +pi/2. \n" ); document.write( "ANSWER: tan^(-1)(tan(3pi/4)) = 3pi/4 - pi = -pi/4 \n" ); document.write( " \n" ); document.write( " |