document.write( "Question 720378: find the exact value of the remaining trigonometric functions:\r
\n" ); document.write( "\n" ); document.write( "1. cotθ = 12/5, cosθ < 0\r
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\n" ); document.write( "\n" ); document.write( "2. cosθ = -3/5, θ in quadrant III
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Algebra.Com's Answer #441831 by lwsshak3(11628)\"\" \"About 
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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( "
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