Question

If $\tan A=\frac{3}{4}$ and $A+B={90}^{\circ }$, then what is the value of $\cot B$?

• A. $\frac{1}{2}$
• B. $-\frac{2}{5}$
• C. $\frac{3}{4}$
• D. $-\frac{7}{5}$

Answer 1

The correct option is C $\frac{3}{4}$

Given,
$A+B={90}^{\circ }$
$=>A={90}^{\circ }-B$
Given,
$\tan A=\frac{3}{4}$
$=>\cot B=\frac{3}{4}$