SOLUTION: Evaluate: cos(-5pi/9)tan(5pi/3)-sin(7pi/6)sec(pi/6) Please show steps Thank you

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Question 960681: Evaluate:
cos(-5pi/9)tan(5pi/3)-sin(7pi/6)sec(pi/6)
Please show steps
Thank you

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate:
cos(-5pi/9)tan(5pi/3)-sin(7pi/6)sec(pi/6)
Please show steps
***
cos(-5π/9)=cos(260˚)=-0.1736(not a special angle, must use calculator)
tan(5π/3)=tan(300˚)=-√3
sin(7π/6)=sin(210˚)=-1/2
sec(π/6)=1/cos(30˚)=2/√3
cos(-5pi/9)tan(5pi/3)-sin(7pi/6)sec(pi/6)
=-0.1736*-√3-(-1/2)*2√3
=-0.1736*-√3+√3=√3(1+1.736)=√3*2.1736≈3.76