Answered



(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

(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. class=

Verified Answer :

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 \(1\) over \(2\)

Step-by-step explanation:

we know that

In the right triangle ABC

Find the sec(B)

\(sec(B)=\frac{1}{cos(B)}\)

\(cos(B)=\frac{AB}{BC}=\frac{6}{7}\)

so

\(sec(B)=\frac{7}{6}\)

Find the cot(B)

\(cot(B)=\frac{cos(B)}{sin(B)}\)

\(cot(B)=\frac{AB}{AC}=\frac{6}{3}=2\)

Find the cot(C)

\(cot(C)=\frac{cos(C)}{sin(C)}\)

\(cot(C)=\frac{AC}{AB}=\frac{3}{6}=\frac{1}{2}\)


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