Evaluate : ``(`(3cos55^0) / (7sin35^0))-(4/7)(cos70^0cos e c20^0)/(tan5^0tan25^0tan45^0tan65^0tan85^0``

Explanation

Identities that will help in solving the given expression,


`cos (90-theta)=sin theta `


`tan (90-theta)=cot theta `


`cot theta= frac{1}{tan theta} `


`sec theta= frac{1}{cos theta} `


`cos 55^circ =cos (90^circ-35^circ) =sin 35^circ`


`tan 5^circ =tan (90^circ-85^circ) =cot 85^circ `


`tan 25^circ =tan (90^circ-65^circ) =cot 65^circ `


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