document.write( "Question 817849: If sin Θ = 2/3 and tan Θ < 0, what is the value of cos Θ? \n" ); document.write( "

Algebra.Com's Answer #492234 by stanbon(75887) $\"\"$ $\"About$

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If sin Θ = 2/3 and tan Θ < 0, what is the value of cos Θ?
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\n" ); document.write( "Since sine = y/r, y = 2 and r = 3
\n" ); document.write( "Then x = sqrt[3^2-2^2] = sqrt(5)
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\n" ); document.write( "Note:: if sin(t) is positive and tan(t) is negative,
\n" ); document.write( "t is in QII where x is negative and y is positive.
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\n" ); document.write( "Therefore cos(t) = x/r = -sqrt(5)/3
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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