Respuesta :

Answer:

[tex]\csc\theta=\dfrac{1}{a}[/tex]

Step-by-step explanation:

Given that,

[tex]\sin\theta=a[/tex]

We need to find the value of [tex]\csc\theta[/tex].

We know that, the relation is given as follows :

[tex]\sin\theta=\dfrac{1}{\csc\theta}\\\\\csc\theta=\dfrac{1}{\sin \theta}[/tex]

Put [tex]\sin\theta=a[/tex]

So,

[tex]\csc\theta=\dfrac{1}{a}[/tex]

So, the answer is equal to [tex]\dfrac{1}{a}[/tex].