document.write( "Question 912121: Find the exact value of csc q without finding q if tan q = 5/4 and cos q < 0 \n" ); document.write( "

Algebra.Com's Answer #554054 by lwsshak3(11628) $\"\"$ $\"About$

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Find the exact value of csc q without finding q if tan q = 5/4 and cos q < 0
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\n" ); document.write( "you are working with a 3-4-5 right triangle in quadrant III where cos<0, sin<0
\n" ); document.write( "hypotenuse of right triangle=√(5^2+4^2)=√(25+16)=√41
\n" ); document.write( "tan(q)=sin(q)/cos(q)=5/4
\n" ); document.write( "sin(q)=-5/√41
\n" ); document.write( "csc q=1/sin(q)=-√41/5
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