document.write( "Question 825724: If secθ= 4/3 and θ terminates in Quadrant IV, find the exact values for all six trigonometric functions of θ.(sinθ,cosθ, tanθ,cscθ,secθ, and cotθ) You may leave denominators unrationalized. \n" ); document.write( "
Algebra.Com's Answer #497548 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! If secθ= 4/3 and θ terminates in Quadrant IV, find the exact values for all six trigonometric functions of θ.(sinθ,cosθ, tanθ,cscθ,secθ, and cotθ) You may leave denominators unrationalized. \n" ); document.write( "*** \n" ); document.write( "Reference angle in quadrant IV in which sin<0,cos>0,tan<0 \n" ); document.write( "secθ=4/3=1/cosθ \n" ); document.write( "cosθ=3/4 \n" ); document.write( "sinθ=-√(1-cos^2θ)=-√(1-(9/16))=-√(7/16)=-√7/4 \n" ); document.write( "tanθ=sinθ/cosθ=-√7/3 \n" ); document.write( "cotθ=-3/√7 \n" ); document.write( "cscθ=-4/√7 \n" ); document.write( " |