Question

12. If A + B = 90° and tan A = what is cot B?
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Answer 1

Answer:

If A+B= 90° then

tanA = cot B

Step-by-step explanation:

Given A+B= 90°

=> A = 90° - B

=> tanA = tan(90° - B)

=> tanA = cot B

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Answer 2

Answer:  The required relation is $\tan A=\cot B.$

Step-by-step explanation:  We are given the following relation :

$A+B=90^\circ.$

To find the value of $\tan A$ in terms of $\cot B.$

We have, from the given relation that

$A+B=90^\circ\\\\\Rightarrow A=90^\circ-B\\\\\Rightarrow \tan A=\tan(90^\circ-B)\\\\\Rightarrow \tan A=\cot B.$

Thus, the required relation is $\tan A=\cot B.$