If cos⁡(A−B)=35 and  tan⁡ Atan⁡B=2 then

# If $\mathrm{cos}\left(\mathrm{A}-\mathrm{B}\right)=\frac{3}{5}$ and  then

1. A

2. B

3. C

4. D

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### Solution:

$\mathrm{cos}\left(\mathrm{A}-\mathrm{B}\right)=\frac{3}{5}$

or  $5\mathrm{cos}\mathrm{Acos}\mathrm{B}+5\mathrm{sin}\mathrm{Asin}\mathrm{B}=3$   ------------(1)

From the second relation , we get

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