Question

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

Answer 1

Answer:

Option A. $csc\theta$.

Step-by-step explanation:

We have to simplify the term

$cot\theta \times sec\theta$

As we know

$cot\theta=\frac{1}{tan\theta }=\frac{1}{\frac{sin\theta }{cos\theta }}=\frac{cos\theta }{sin\theta }$

and $sec\theta =\frac{1}{cos\theta }$

when we multiply these terms by each other$\frac{cos\theta }{sin\theta }\times \frac{1}{cos\theta }=\frac{1}{sin\theta }=cosec\theta$

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

Answer 2

A. csc(θ)

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