contestada


(07.02 MC)

Given the triangle below, which of the following is a correct statement?

Right triangle ABC with AB measuring 6, AC measuring 3, and BC measuring 7.

sec angle B equals 3 over 7
cot angle B equals 3 over 2
sec angle B equals 7 over 3
cot angle C equals 1 over 2

0702 MC Given the triangle below which of the following is a correct statement Right triangle ABC with AB measuring 6 AC measuring 3 and BC measuring 7 sec ang class=

Respuesta :

D.) cot angle C equals 1 over 2

As Cot = B/P = 3/6 = 1/2

Hope this helps!
calculista

Answer:

cot angle C equals [tex]1[/tex] over [tex]2[/tex]

Step-by-step explanation:

we know that

In the right triangle ABC

Find the sec(B)

[tex]sec(B)=\frac{1}{cos(B)}[/tex]

[tex]cos(B)=\frac{AB}{BC}=\frac{6}{7}[/tex]

so

[tex]sec(B)=\frac{7}{6}[/tex]

Find the cot(B)

[tex]cot(B)=\frac{cos(B)}{sin(B)}[/tex]

[tex]cot(B)=\frac{AB}{AC}=\frac{6}{3}=2[/tex]

Find the cot(C)

[tex]cot(C)=\frac{cos(C)}{sin(C)}[/tex]

[tex]cot(C)=\frac{AC}{AB}=\frac{3}{6}=\frac{1}{2}[/tex]


Otras preguntas