Question

Find the cotangent of both angle A and angle B.

Answer 1

cotangent = adjacent / opposite side

For < A its 24/10 = 2.4
For < B its 10/24 or 0.4167 to 4 dec places

Answer 2

`\text{cot}(A)=(12)/(5)`

`\text{cot}(B)=(5)/(12)`

Explanation:

We have been given a right triangle. We are asked to find the cotangent of both angle A and angle B.

We know that cotangent relates the adjacent of right triangle to opposite side of right triangle.

`\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}`

`\text{cot}(A)=(24)/(10)`

`\text{cot}(A)=(12)/(5)`

Therefore, cotangent of angle A is
`(12)/(5)`.

`\text{cot}(B)=(10)/(24)`

`\text{cot}(B)=(5)/(12)`

Therefore, cotangent of angle B is
`(5)/(12)`.