SOLUTION: If angle A is acute and tan A=2/3, then... The answer is cot(90degrees-A)=2/3 I dont understand how to arrive at this answer.

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Question 621739: If angle A is acute and tan A=2/3, then...
The answer is cot(90degrees-A)=2/3
I dont understand how to arrive at this answer.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
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