document.write( "Question 720378: find the exact value of the remaining trigonometric functions:\r
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document.write( "1. cotθ = 12/5, cosθ < 0\r
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document.write( "2. cosθ = -3/5, θ in quadrant III \n" );
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Algebra.Com's Answer #441831 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! find the exact value of the remaining trigonometric functions: \n" ); document.write( "1. cotθ = 12/5, cosθ < 0 \n" ); document.write( "let O=opposite side \n" ); document.write( "let A=adjacent side \n" ); document.write( "H=hypotenuse \n" ); document.write( ".. \n" ); document.write( "cot>0 and cos<0 only in quadrant III \n" ); document.write( "cotθ = 12/5=A/O \n" ); document.write( "A=-12, O=-5 \n" ); document.write( "H=√(O^2+A^2)=√(144+25)=√169=13 \n" ); document.write( "sinθ=-5/13 \n" ); document.write( "cosθ=-12/13 \n" ); document.write( "tanθ=5/12 \n" ); document.write( "cscθ=-13/5 \n" ); document.write( "secθ=-13/12 \n" ); document.write( "cotθ=12/5 \n" ); document.write( ".. \n" ); document.write( "2. cosθ = -3/5, θ in quadrant III \n" ); document.write( "sin and cos<0 \n" ); document.write( "cosθ=-3/5=A/H \n" ); document.write( "A=-3, H=5 \n" ); document.write( "O=√(H^2-A^2)=√(25-9)=√16=-4 \n" ); document.write( "sinθ=-4/5 \n" ); document.write( "cosθ=-3/5 \n" ); document.write( "tanθ=4/3 \n" ); document.write( "cscθ=-5/4 \n" ); document.write( "secθ=-5/3 \n" ); document.write( "cotθ=3/4 \n" ); document.write( " |