Question

if angle A + angle B = 90^o , cotB = 3 in triangle ABC, then tanA is equal to _______ .
4

Answer 1

Answer :

Given : $\angle$ A + $\angle$ B = 90$°$ ----- ( 1 )

And

Cot B = $\frac{3}{4}$ ----- ( 2 )

So, from equation 1 and 2 we get

Cot ( 90$°$ - A ) = $\frac{3}{4}$

We know $\left(\mathrm{Cot}\left(90°-\mathrm{\theta }\right)=\tan \mathrm{\theta }\right)$

So,

tan A = $\frac{3}{4}$ ( Ans )