Question

What is the value of the contangent of

Answer 1

Given:

In triangle WXY, $m\angle W=90^\circ, WX=8, XY=17, WY=15$.

To find:

The Cotangent of $\angle X$.

Solution:

In a right angle triangle,

$\cot \theta=\dfrac{Base}{Perpendicular}$

It can be written as:

$\cot \theta=\dfrac{Adjacent}{Opposite}$

For triangle WXY,

$\cot (\angle X)=\dfrac{WX}{WY}$

$\cot (\angle X)=\dfrac{8}{15}$

Therefore, the Cotangent of $\angle X$ is $\dfrac{8}{15}$.