Respuesta :

absor201

Answer:

We conclude that:

  • cosecant (U) = 13/12

Step-by-step explanation:

Given the right-angled triangle ΔUWV, it is clear that

  • The opposite of angle ∠U = 24
  • The hypotenuse = 26

Using the trigonometric ratio, we know that

sin Ф = opposite / hypotenuse

cosecant Ф = 1/ sin Ф

Thus,

cosecant Ф = hypotenuse / opposite

substituting Ф = U,  hypotenuse = 26 and opposite = 24

cosecant (U) = 26 / 24

cosecant (U) = 13/12

Therefore, we conclude that:

  • cosecant (U) = 13/12