document.write( "Question 717196: Find the values of the six trigonometric functions of θ with the given constraint. (If an answer is undefined, enter UNDEFINED.)
\n" ); document.write( "Function Value Constraint
\n" ); document.write( "cos θ = 21/29 tan θ < 0 \n" ); document.write( "

Algebra.Com's Answer #440138 by stanbon(75887) $\"\"$ $\"About$

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cos θ = 21/29 tan θ < 0
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\n" ); document.write( "Since cos is positive and tan is negative theta
\n" ); document.write( "is in QIV
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\n" ); document.write( "Since cos(theta) = 21/29, x = 21 and r = 29
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\n" ); document.write( "Solve for y:
\n" ); document.write( "y^2 = r^2-x^2
\n" ); document.write( "y^2 = 29^2-21^2 = 400
\n" ); document.write( "---
\n" ); document.write( "Since tan is in QIV, y is negative: y = -sqrt(400) = -20
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\n" ); document.write( "sin = y/r = -20/29
\n" ); document.write( "cos = x/r = 21/29
\n" ); document.write( "tan = y/x = -20/21
\n" ); document.write( "-----
\n" ); document.write( "csc = r/y = -29/20
\n" ); document.write( "sec = r/x = 29/21
\n" ); document.write( "cot = x/y = -21/20
\n" ); document.write( "------------------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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