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if $ belongs to [-5pi/12,-pi/3] and the maximium value to {tan($+2pi/3)-tan($+pi/6)+cos($+pi/6)} /root 3 is a/b ( where a an b are co primes) then a-b is equal to

if $ belongs to [-5pi/12,-pi/3] and the maximium value to {tan($+2pi/3)-tan($+pi/6)+cos($+pi/6)}  /root 3  is a/b ( where a an b are co primes) then a-b is equal to 

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