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



Right triangle ABC with AB measuring 4, AC measuring 5, and BC measuring 6.



csc angle C equals 3 over 2

sec angle C equals 5 over 6

csc angle B equals 3 over 2

sec angle B equals 6 over 5

Verified Answer :

calculista

Answer:

csc angle C equals 3 over 2

Step-by-step explanation:

In this problem

The hypotenuse is BC (greater side)

The legs are AC and AB

we know that

\(csc(C) =\frac{1}{sin(C)}\)

\(sin(C)=\frac{AB}{BC}\) ----> opposite side of angle C divided by the hypotenuse

therefore

\(csc(C)=\frac{BC}{AB}\)

substitute the given values

\(csc(C)=\frac{6}{4}\)

Simplify

\(csc(C)=\frac{3}{2}\)

Note In this problem, the ABC triangle cannot be a right triangle, since its measurements do not satisfy the Pythagoras theorem, so I assume that it must be a problem created for didactic purposes

Answer:

CSC angle C equals 3 over 2

Step-by-step explanation:

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