document.write( "Question 995590: given tanθ = √5, find secθ and cotθ in quadrant III \n" ); document.write( "
Algebra.Com's Answer #614300 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! given tanθ = √5, find secθ and cotθ in quadrant III \n" ); document.write( "---- \n" ); document.write( "Note: x and y are both negative in QIII \n" ); document.write( "----- \n" ); document.write( "By definition, tan = y/x \n" ); document.write( "------ \n" ); document.write( "So, y = -sqrt(5) and x = -1 \n" ); document.write( "------ \n" ); document.write( "Then, r = sqrt[(sqrt(5))^2+(1)^2] = sqrt[5+1] = sqrt(6) \n" ); document.write( "----- \n" ); document.write( "Ans: sec(t) = r/x = -sqrt(6) and cot(t) = x/y = 1/sqrt(5) = (1/5)sqrt(5) \n" ); document.write( "---------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " |