document.write( "Question 958397: Let (-4, -7) be a point on the terminal side of theta. Find the \"exact values\" of cos theta, sec theta, and cot theta. \n" ); document.write( "
Algebra.Com's Answer #585739 by lwsshak3(11628)\"\" \"About 
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Let (-4, -7) be a point on the terminal side of theta. Find the \"exact values\" of cos theta, sec theta, and cot theta.
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\n" ); document.write( "use x for theta
\n" ); document.write( "reference angle x is in quadrant III, where sin<0, cos<0
\n" ); document.write( "hypotenuse of reference right triangle in quadrant III=√(4^2+7^2)=√(16+49)=√65
\n" ); document.write( "sinx=-7/√65
\n" ); document.write( "cosx=-4/√65=-(4√65)/65
\n" ); document.write( "secx=-√65/4
\n" ); document.write( "cotx=4/7
\n" ); document.write( "..
\n" ); document.write( "check: (w/calculator)
\n" ); document.write( "tanx=7/4
\n" ); document.write( "x≈240.2551˚
\n" ); document.write( "cosx≈cos(240.2551)≈-0.4961
\n" ); document.write( "exact value=-(4√65)/65≈-0.4961 \n" ); document.write( "
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