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question 2 which of the following is equal to $sec\\theta \\cdot \\cot\…

Question

question 2
which of the following is equal to
$sec\theta \cdot \cot\theta$
$\sin\theta$
$csc\theta$
$cos\theta$
$sec\theta$

Explanation:

Step1: Rewrite in terms of sine/cosine

$\sec\theta \cdot \cot\theta = \frac{1}{\cos\theta} \cdot \frac{\cos\theta}{\sin\theta}$

Step2: Simplify the expression

Cancel $\cos\theta$: $\frac{1}{\sin\theta} = \csc\theta$

Answer:

$\csc\theta$ (the second option)