Check all that apply. If csco =13/5
then:

B and C

Step-by-step explanation:

Right off the top, A and D are both wrong.

A: wrong because the sec is greater than 1. Always

D: C and D cannot be equal to the same thing except when theta = 45 degrees. The right answer is C and therefore D is incorrect.

C: is one of the answers. The CSC(theta) = 1/sin(theta) or Sin(theta) = 1 /CSC(theta) . If that is true, and if CSC(theta) = 13/5 the Sin(theta) = 5/13

The Other correct answer is B. The adjacent side is found from the Pythagorean Theorem

a^2 + b^2 = c^2

a = 5

b = ?   and is the adjacent side.

c = 13

5^2 + b^2 = 13^2

25 + b^2 = 169                    Subtract 25 from both sides

b^2 = 144                             Take the square root of both sides

b = 12

Tan(theta) = 5/12

You may wonder how I knew that 12 was the adjacent side. The reason is because the sin and csc both deal with the opposite side. The tan(theta) needs to know what the adjacent side as well as the opposite side is.

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.