Question

If A + B = 90° and \[\tan A = \frac{3}{4}\]\[\tan A = \frac{3}{4}\] what is cot B? 

Answer 1

Given in question: 

`A+B=90°` 

tan `A=3/4` 

`A+B=90°` 

⇒` B=90°-A` 

⇒ `Cot B= cot(90°-A)`

⇒` Cot B= tan A` 

⇒ `Cot B=3/4[cot (90°-A)=tan A]` 

Hence the value of cot B  is  `3/4`