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(i) If tanA-tan B=x and cot B- cot A=y....

(i) If `tanA-tan B=x` and `cot B- cot A=y`. Prove that `cot(A-B)=1/x + 1/y`. (ii) If `2 cos A = x+1/x, 2 cos B = y + 1/y`, then show that `2 cos (A-B)= x/y+y/x`.

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