Question

In ΔTUV, the measure of ∠V=90°, TV = 28, UT = 53, and VU = 45. What ratio represents the cosecant of ∠U?

Answer 1

Answer:

Cosecant U = 53 / 28

Step-by-step explanation:

Please see attached photo for diagram.

We'll begin by calculating the ratio of sine U. This can be obtained as follow:

Angle U = θ

Opposite = 28

Hypothenus = 53

Sine U =?

Sin θ = Opposite / Hypothenus

Sine θ = 28 / 53

Thus,

Sine U = 28 / 53

Finally, we shall determine the ratio of cosecant U. This can be obtained as follow:

Sine U = 28 / 53

Cosecant U =?

Cosecant U = 1 / Sine U

Cosecant U = 1 ÷ 28 / 53

Cosecant U = 1 × 53 / 28

Cosecant U = 53 / 28