document.write( "Question 840753: find the values of the trigonometric functions of t from the given information tan(t)=1/4 terminal point of t is in quadrant III \n" ); document.write( "
Algebra.Com's Answer #506662 by stanbon(75887) ![]() You can put this solution on YOUR website! find the values of the trigonometric functions of t from the given information tan(t)=1/4 terminal point of t is in quadrant III \n" ); document.write( "----- \n" ); document.write( "Note: In QIII, x is negative and y is negative. \n" ); document.write( "------- \n" ); document.write( "Definition:: tan = y/x \n" ); document.write( "---- \n" ); document.write( "Since tan(t) = 1/4, y = -1 and x = -4 \n" ); document.write( "-------- \n" ); document.write( "Then r = sqrt[4^2 + 1^2] = sqrt(17) \n" ); document.write( "------------ \n" ); document.write( "Your Problem:: \n" ); document.write( "sin = y/r = -1/sqrt(17) \n" ); document.write( "cos = x/r = -4/sqrt(17) \n" ); document.write( "tan = 1/4 \n" ); document.write( "-------- \n" ); document.write( "csc, sec, and cot are the inverse of sin, cos, and tan \n" ); document.write( "------------------------------- \n" ); document.write( "cheers, \n" ); document.write( "Stan H. \n" ); document.write( "====================== \n" ); document.write( " |