document.write( "Question 769691: Please help my figure this out. Find tan θ if sec θ =(sqrt 26)/5 and sin θ < 0 \n" ); document.write( "

Algebra.Com's Answer #469410 by lwsshak3(11628) $\"\"$ $\"About$

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Please help my figure this out. Find tan θ if sec θ =(sqrt 26)/5 and sin θ < 0
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\n" ); document.write( "sec θ=√26/5
\n" ); document.write( "cos θ=5/√26
\n" ); document.write( "sin θ<0
\n" ); document.write( "This means reference angle is in Quadrant IV where sin<0 and cos>0
\n" ); document.write( "sin θ=-√1-cos^2 θ)=-√(1-25/26)=-√1/26=-1/√26
\n" ); document.write( "tan θ=sin θ/cos θ=-1/5 \n" ); document.write( "

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