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Let ABCDEFGHIJKL be a regular dodecagon. Then the value of (AB)/(AF) + (AF)/(AB) is equal to ____ |
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Answer» Similarly, `AN = R sin.(5pi)/(12) rArr AF = 2 R sin.(5pi)/(12)` `:. (AB)/(AF) + (AF)/(AB) = (sin.(pi)/(12))/(sin.(5pi)/(12)) + (sin.(5pi)/(12))/(sin.(pi)/(12))` `= TAN.(pi)/(12) + cot.(pi)/(12)` `= (2 - sqrt3) + (2 + sqrt3) = 4` |
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