document.write( "Question 1130506: If sin θ = 7/24 and cos θ < 0, find the exact value of tan θ. Thank you :D \n" ); document.write( "

Algebra.Com's Answer #747168 by josmiceli(19441) $\"\"$ $\"About$

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The sin is positive and the cos is negative,
\n" ); document.write( "so the angle must be in the 2nd quadrant.
\n" ); document.write( "In the 2nd quadrant, the tan is also negative
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\n" ); document.write( " $\"+24%5E2+-+7%5E2+%2B+b%5E2+\"$
\n" ); document.write( " $\"+576+=+49+%2B+b%5E2+\"$
\n" ); document.write( " $\"+b%5E2+=+576+-+49+\"$
\n" ); document.write( " $\"+b%5E2+=+527+\"$
\n" ); document.write( " $\"+b+=+sqrt%28+527+%29+\"$
\n" ); document.write( " $\"+tan%28+theta+%29+=+-7%2Fsqrt%28+527+%29+\"$
\n" ); document.write( "get 2nd opinion if needed
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