document.write( "Question 951059: x is an angle in standard position with 0≤x≤2π. Determine the quadrant of x if tan x<0 and sin x<0 \n" ); document.write( "

Algebra.Com's Answer #580744 by josmiceli(19441) $\"\"$ $\"About$

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In the 1st and 2nd quadrants, the
\n" ); document.write( "sin is positive, being (+) / (+),
\n" ); document.write( "so the angle $\"+x+\"$ can be in
\n" ); document.write( "either the 3rd or 4th quadrant
\n" ); document.write( "---------------------------
\n" ); document.write( "In the 3rd quadrant, the tan is
\n" ); document.write( "(-) / (-) ,which is positive, so the
\n" ); document.write( "angle $\"+x+\"$ must be in the
\n" ); document.write( "4th quadrant
\n" ); document.write( "-------------------
\n" ); document.write( "check:
\n" ); document.write( "tan is (-) / (+)
\n" ); document.write( "sin is (-) / (+)
\n" ); document.write( "--------------
\n" ); document.write( " $\"+tan%28x%29+%3C0+\"$
\n" ); document.write( " $\"+sin%28x%29+%3C+0+\"$
\n" ); document.write( "OK \n" ); document.write( "

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