Answer:
Option A. [tex]csc\theta[/tex].
Step-by-step explanation:
We have to simplify the term
[tex]cot\theta \times sec\theta[/tex]
As we know
[tex]cot\theta=\frac{1}{tan\theta }=\frac{1}{\frac{sin\theta }{cos\theta }}=\frac{cos\theta }{sin\theta }[/tex]
and [tex]sec\theta =\frac{1}{cos\theta }[/tex]
when we multiply these terms by each other[tex]\frac{cos\theta }{sin\theta }\times \frac{1}{cos\theta }=\frac{1}{sin\theta }=cosec\theta[/tex]
Therefore option A. [tex]csc\theta[/tex] is the answer.
