Question

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

Answer 1

Given that: 

`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`