document.write( "Question 830506: Solve for the remaining 5 trig functions; secθ=4/3, sinθ<0 \n" ); document.write( "
Algebra.Com's Answer #500667 by stanbon(75887)\"\" \"About 
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Solve for the remaining 5 trig functions; secθ=4/3, sinθ<0
\n" ); document.write( "Under those conditions, theta is in QIV where x is positive and y is negative.
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\n" ); document.write( "Since sec = r/x, r = 4 and x = 3
\n" ); document.write( "Then y = -sqrt[4^2 - 3^2] = -sqrt(7)
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\n" ); document.write( "sin = y/4 = =sqrt(7)/4
\n" ); document.write( "cos = x/r = 3/4
\n" ); document.write( "tan = y/x = -sqrt(7)/3
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\n" ); document.write( "csc = r/y = -4/sqrt(7)
\n" ); document.write( "sec = r/x = 4/3
\n" ); document.write( "cot = x/y = -3/sqrt(7)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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