Question

The value of cot $\theta$ in the given right triangle is

• A. $\sqrt{2}$
• B. 1
• C. $\frac{1}{\sqrt{2}}$
• D. $\frac{1}{2}$

Answer 1

The correct option is B

1

In the given triangle,

$B{C}^2=A{C}^2-A{B}^2$ (By Pythagoras theorem)

$\Rightarrow B{C}^2=2-1=1$

$cot\theta =\frac{Adjacentside}{oppositeside}$

$cot\theta =\frac{AB}{BC}=1$