Answer:
[tex]\text{cot}(A)=\frac{12}{5}[/tex]
[tex]\text{cot}(B)=\frac{5}{12}[/tex]
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.
[tex]\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}[/tex]
[tex]\text{cot}(A)=\frac{24}{10}[/tex]
[tex]\text{cot}(A)=\frac{12}{5}[/tex]
Therefore, cotangent of angle A is [tex]\frac{12}{5}[/tex].
[tex]\text{cot}(B)=\frac{10}{24}[/tex]
[tex]\text{cot}(B)=\frac{5}{12}[/tex]
Therefore, cotangent of angle B is [tex]\frac{5}{12}[/tex].
