document.write( "Question 1023516: How do you find all the angles in the interval [0, 360) for which the tangent ratio is 1.6852? \n" ); document.write( "

Algebra.Com's Answer #639013 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
With my calculator, I get $\"+arctan%28+1.6852+%29+=+59.315+\"$ degrees
\n" ); document.write( "Because $\"+tan%28+59.315+%29+=+1.6852+\"$ , I can eliminate
\n" ); document.write( "the 2nd and 4th quadrants where the tan is negative.
\n" ); document.write( "--------------------
\n" ); document.write( "In the first quadrant, I just have $\"+59.315+\"$ degrees
\n" ); document.write( "In the 3rd quadrant, I have $\"+180+%2B+59.315+=+239.315+\"$ degrees
\n" ); document.write( "--------------------
\n" ); document.write( "Note that in the 1st quadrant, the signs are +/+
\n" ); document.write( "and in the 2nd quadrant, the signs are -/-
\n" ); document.write( "Both give me a sign of + \n" ); document.write( "

\n" );