document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1093702>Question 1093702</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Without using a calculator, find the value of t in [0,2&#960;) that corresponds to tan (t) = 1/&#8730;3 with t in QI.\r<BR>\n" );
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document.write( "Select one:<BR>\n" );
document.write( "a. &#960;/6<BR>\n" );
document.write( "b. 11&#960;/6<BR>\n" );
document.write( "c. 5&#960;/6<BR>\n" );
document.write( "d. 7&#960;/6 </SPAN>\n" );
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document.write( "you have tan(T) = 1/sqrt(3).\r<BR>\n" );
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document.write( "that means opposite leg to the angle is 1 and adjacent leg to the angle is sqrt(3).\r<BR>\n" );
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document.write( "use pythagoream formula to find hypotenuse = sqrt(1^2 + sqrt(3)^2) = sqrt(1+3) = sqrt(4) = 2.\r<BR>\n" );
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document.write( "hypotenuse is equal to 2.\r<BR>\n" );
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document.write( "that means sin(t) = 1/2.\r<BR>\n" );
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document.write( "this corresponds to an angle of 30 degrees.\r<BR>\n" );
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document.write( "tangent is positive in first quadrant and third quadrant.\r<BR>\n" );
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document.write( "angle in third quadrant is 180 + 30 = 210 degrees.\r<BR>\n" );
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document.write( "radian equivalent for 30 degrees is 30 * pi / 180 = pi/6.\r<BR>\n" );
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document.write( "radian equivalent for 210 degrees is 210 * pi / 180 = 7pi/6.\r<BR>\n" );
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document.write( "selection a and d are correct, but you want the angle in quadrant 1, so the angle has to be pi/6 which is selection a.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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