Which of the following is cot(theta) sec(theta) in simplified form?

Question

asked Sep 27, 2019 213k views

2 Answers

AmagicalFishy · Answer 1 · 2019-10-01T11:05:50+0000

Answer:

Option A.
$csc\theta$ .

Explanation:

We have to simplify the term

$cot\theta * sec\theta$

As we know

$cot\theta=(1)/(tan\theta )=(1)/((sin\theta )/(cos\theta ))=(cos\theta )/(sin\theta )$

and
$sec\theta =(1)/(cos\theta )$

when we multiply these terms by each other
$(cos\theta )/(sin\theta )* (1)/(cos\theta )=(1)/(sin\theta )=cosec\theta$

Therefore option A.
$csc\theta$ is the answer.