Question 621739
If angle A is acute and tan A=2/3, then... 
The answer is cot(90degrees-A)=2/3 
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The answer is based on the fact that tan and cot being reciprocal functions, the tan of an angle is equal to the cot of its complement like in given problem.
complement of A=90º-A.
Example: Tan 30º=cot(90-30)=cot 60º=1/√3=√3/3