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`cot16^0cot44^0+cot44^0cot76^0-cot76^0cot16^0=`1 (b) 2(c) 3 (d)4 |
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Answer» Correct Answer - 3 Value of cot ………… `cot 16^(@)cot44^(@)`………. `(tan76^(@)+tan16^(@)-tan44^(@))/(tan16^(@)tan44^(@)tan76^(@))` `= (3tan48^(@))/(tan48^(@)) = 3` `(cos16cos44)/(sin16.sin44)-1+(cos44.cos76)/(sin44sin76)` Aliter `-1-(cos76cos16)/(sin76.sin16)-1+3` `= (cos60)/(sin16.sin44)+(cos120)/(sin44sin76) - (cos60)/(sin76.sin16)+3` `=(1)/(2)((sin76-sin16)/(sin16.sin44.sin76))-(1)/(2sin76.sin16)+3=3`. |
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