Question

PLEASE HELP THESE ARE ALL OF MY POINTS
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

Answer 1

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 2

Answer:

CSC angle C equals 3 over 2

Step-by-step explanation: