document.write( "Question 960681: Evaluate:\r
\n" ); document.write( "\n" ); document.write( "cos(-5pi/9)tan(5pi/3)-sin(7pi/6)sec(pi/6)\r
\n" ); document.write( "\n" ); document.write( "Please show steps\r
\n" ); document.write( "\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #587238 by lwsshak3(11628) $\"\"$ $\"About$

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Evaluate:
\n" ); document.write( "cos(-5pi/9)tan(5pi/3)-sin(7pi/6)sec(pi/6)
\n" ); document.write( "Please show steps
\n" ); document.write( "***
\n" ); document.write( "cos(-5π/9)=cos(260˚)=-0.1736(not a special angle, must use calculator)
\n" ); document.write( "tan(5π/3)=tan(300˚)=-√3
\n" ); document.write( "sin(7π/6)=sin(210˚)=-1/2
\n" ); document.write( "sec(π/6)=1/cos(30˚)=2/√3
\n" ); document.write( "cos(-5pi/9)tan(5pi/3)-sin(7pi/6)sec(pi/6)
\n" ); document.write( "=-0.1736*-√3-(-1/2)*2√3
\n" ); document.write( "=-0.1736*-√3+√3=√3(1+1.736)=√3*2.1736≈3.76 \n" ); document.write( "

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