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].