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=(Base)/(Perpendicular)`

It can be written as:

`\cot \theta=(Adjacent)/(Opposite)`

For triangle WXY,

`\cot (\angle X)=(WX)/(WY)`

`\cot (\angle X)=(8)/(15)`

Therefore, the Cotangent of
`\angle X` is
`(8)/(15)`.