Question

Find the cotangent of both angle A and angle B.

Answer 1

Answer:

$\text{cot}(A)=\frac{12}{5}$

$\text{cot}(B)=\frac{5}{12}$

Step-by-step 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.

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

$\text{cot}(A)=\frac{24}{10}$

$\text{cot}(A)=\frac{12}{5}$

Therefore, cotangent of angle A is $\frac{12}{5}$.

$\text{cot}(B)=\frac{10}{24}$

$\text{cot}(B)=\frac{5}{12}$

Therefore, cotangent of angle B is $\frac{5}{12}$.

Answer 2

Cotangent  = adjacent / opposite side

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