document.write( "Question 483475: Find the remaining trigonometric functions of θ if csc(θ) = 17/8 and cos(θ) < 0.
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Algebra.Com's Answer #330855 by stanbon(75887)\"\" \"About 
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Find the remaining trigonometric functions of θ if csc(θ) = 17/8 and cos(θ) < 0.\r
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\n" ); document.write( "csc positive and cos negative , so theta in QII
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\n" ); document.write( "csc = r/y ; so r = 17 and y = 8
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\n" ); document.write( "therefore x = sqrt[17^2-8^2] = sqrt[225] = 15
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\n" ); document.write( "But x is negative in QII so x = -15
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\n" ); document.write( "sin = y/r = 8/17
\n" ); document.write( "cos = x/r = -15/17
\n" ); document.write( "tan = y/x = -8/15
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\n" ); document.write( "csc = r/y = 17/8
\n" ); document.write( "sec = r/x = -17/15
\n" ); document.write( "cot = x/y = -15/8
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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