document.write( "Question 388643: Need your help please!
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\n" ); document.write( "If tan θ = -2/3 and angle θ lies in the second quadrant, what is the value of cos θ?\r
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Algebra.Com's Answer #274993 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
If tan θ = -2/3 and angle θ lies in the second quadrant, what is the value of cos θ?
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\n" ); document.write( "tan(theta) = y/x and x is negative in the second quadrant.
\n" ); document.write( "Therefore y = 2 and x = -3
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\n" ); document.write( "To get the cos(theta) you need to know \"r\":
\n" ); document.write( "r = sqrt(2^2+3^2) = sqrt(13)
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\n" ); document.write( "So, cos(theta) = x/r = -3/sqrt(13)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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